System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 81 and 25, then apply gcf to the result and 4500.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 81 and 25 is 2025. Then, The greatest common factor of 2025 and 4500 is 225.
result = "225"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 104 and 66, then apply gcf to the result and 8580.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 104 and 66 is 3432. Then, The greatest common factor of 3432 and 8580 is 1716.
result = "1716"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 74 and 51, then apply gcf to the result and 510.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 74 and 51 is 3774. Then, The greatest common factor of 3774 and 510 is 102.
result = "102"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 184 and 39, then apply gcf to the result and 7774.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 184 and 39 is 7176. Then, The greatest common factor of 7176 and 7774 is 598.
result = "598"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 61 and 100, then apply gcf to the result and 7015.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 61 and 100 is 6100. Then, The greatest common factor of 6100 and 7015 is 305.
result = "305"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 92 and 35, then apply gcf to the result and 8970.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 92 and 35 is 3220. Then, The greatest common factor of 3220 and 8970 is 230.
result = "230"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 72 and 52, then apply gcf to the result and 2964.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 72 and 52 is 936. Then, The greatest common factor of 936 and 2964 is 156.
result = "156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 107 and 75, then apply gcf to the result and 4280.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 107 and 75 is 8025. Then, The greatest common factor of 8025 and 4280 is 535.
result = "535"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 62 and 45, then apply gcf to the result and 11625.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 62 and 45 is 2790. Then, The greatest common factor of 2790 and 11625 is 465.
result = "465"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 28 and 82, then apply gcf to the result and 1640.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 28 and 82 is 1148. Then, The greatest common factor of 1148 and 1640 is 164.
result = "164"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 130 and 49, then apply gcf to the result and 15015.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 130 and 49 is 6370. Then, The greatest common factor of 6370 and 15015 is 455.
result = "455"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 32 and 38, then apply gcf to the result and 5320.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 32 and 38 is 608. Then, The greatest common factor of 608 and 5320 is 152.
result = "152"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 176 and 26, then apply gcf to the result and 2717.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 176 and 26 is 2288. Then, The greatest common factor of 2288 and 2717 is 143.
result = "143"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 113 and 38, then apply gcf to the result and 3842.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 113 and 38 is 4294. Then, The greatest common factor of 4294 and 3842 is 226.
result = "226"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 79 and 76, then apply gcf to the result and 55537.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 79 and 76 is 6004. Then, The greatest common factor of 6004 and 55537 is 1501.
result = "1501"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply lcm to 39 and 142, then apply gcf to the result and 35997.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 39 and 142 is 5538. Then, The greatest common factor of 5538 and 35997 is 2769.
result = "2769"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 729 and 1701, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 729 and 1701 is 243. Then, The least common multiple of 243 and 5 is 1215.
result = "1215"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2908 and 7997, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2908 and 7997 is 727. Then, The least common multiple of 727 and 12 is 8724.
result = "8724"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2135 and 4697, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2135 and 4697 is 427. Then, The least common multiple of 427 and 8 is 3416.
result = "3416"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6210 and 6900, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6210 and 6900 is 690. Then, The least common multiple of 690 and 4 is 1380.
result = "1380"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2109 and 5624, then apply lcm to the result and 76.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2109 and 5624 is 703. Then, The least common multiple of 703 and 76 is 2812.
result = "2812"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2445 and 8965, then apply lcm to the result and 35.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2445 and 8965 is 815. Then, The least common multiple of 815 and 35 is 5705.
result = "5705"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1152 and 2016, then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1152 and 2016 is 288. Then, The least common multiple of 288 and 20 is 1440.
result = "1440"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3088 and 3474, then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3088 and 3474 is 386. Then, The least common multiple of 386 and 36 is 6948.
result = "6948"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2250 and 3600, then apply lcm to the result and 55.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2250 and 3600 is 450. Then, The least common multiple of 450 and 55 is 4950.
result = "4950"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1785 and 2499, then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1785 and 2499 is 357. Then, The least common multiple of 357 and 68 is 1428.
result = "1428"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2076 and 3633, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2076 and 3633 is 519. Then, The least common multiple of 519 and 5 is 2595.
result = "2595"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2020 and 3636, then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2020 and 3636 is 404. Then, The least common multiple of 404 and 88 is 8888.
result = "8888"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2560 and 5760, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2560 and 5760 is 640. Then, The least common multiple of 640 and 13 is 8320.
result = "8320"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 768 and 2112, then apply lcm to the result and 47.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 768 and 2112 is 192. Then, The least common multiple of 192 and 47 is 9024.
result = "9024"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2883 and 4805, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2883 and 4805 is 961. Then, The least common multiple of 961 and 2 is 1922.
result = "1922"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 792 and 2178, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 792 and 2178 is 198. Then, The least common multiple of 198 and 26 is 2574.
result = "2574"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1371 and 1828, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1371 and 1828 is 457. Then, The least common multiple of 457 and 6 is 2742.
result = "2742"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 820 and 1312, then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 820 and 1312 is 164. Then, The least common multiple of 164 and 19 is 3116.
result = "3116"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6405 and 9150, then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6405 and 9150 is 915. Then, The least common multiple of 915 and 27 is 8235.
result = "8235"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1196 and 2691, then apply lcm to the result and 17.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1196 and 2691 is 299. Then, The least common multiple of 299 and 17 is 5083.
result = "5083"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1894 and 10417, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1894 and 10417 is 947. Then, The least common multiple of 947 and 7 is 6629.
result = "6629"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1272 and 6996, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1272 and 6996 is 636. Then, The least common multiple of 636 and 10 is 3180.
result = "3180"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6573 and 10329, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6573 and 10329 is 939. Then, The least common multiple of 939 and 4 is 3756.
result = "3756"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1455 and 2037, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1455 and 2037 is 291. Then, The least common multiple of 291 and 10 is 2910.
result = "2910"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 896 and 4032, then apply lcm to the result and 91.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 896 and 4032 is 448. Then, The least common multiple of 448 and 91 is 5824.
result = "5824"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1125 and 1500, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1125 and 1500 is 375. Then, The least common multiple of 375 and 7 is 2625.
result = "2625"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 534 and 890, then apply lcm to the result and 47.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 534 and 890 is 178. Then, The least common multiple of 178 and 47 is 8366.
result = "8366"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 568 and 852, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 568 and 852 is 284. Then, The least common multiple of 284 and 14 is 1988.
result = "1988"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3470 and 4164, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3470 and 4164 is 694. Then, The least common multiple of 694 and 28 is 9716.
result = "9716"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2048 and 2560, then apply lcm to the result and 17.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2048 and 2560 is 512. Then, The least common multiple of 512 and 17 is 8704.
result = "8704"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 7668 and 9372, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 7668 and 9372 is 852. Then, The least common multiple of 852 and 32 is 6816.
result = "6816"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3888 and 4374, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3888 and 4374 is 486. Then, The least common multiple of 486 and 28 is 6804.
result = "6804"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2156 and 3080, then apply lcm to the result and 64.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2156 and 3080 is 308. Then, The least common multiple of 308 and 64 is 4928.
result = "4928"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6076 and 6944, then apply lcm to the result and 93.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6076 and 6944 is 868. Then, The least common multiple of 868 and 93 is 2604.
result = "2604"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2116 and 5819, then apply lcm to the result and 16.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2116 and 5819 is 529. Then, The least common multiple of 529 and 16 is 8464.
result = "8464"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3348 and 4092, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3348 and 4092 is 372. Then, The least common multiple of 372 and 10 is 1860.
result = "1860"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3905 and 7029, then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3905 and 7029 is 781. Then, The least common multiple of 781 and 22 is 1562.
result = "1562"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2538 and 2820, then apply lcm to the result and 84.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2538 and 2820 is 282. Then, The least common multiple of 282 and 84 is 3948.
result = "3948"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1830 and 2440, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1830 and 2440 is 610. Then, The least common multiple of 610 and 7 is 4270.
result = "4270"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2681 and 3830, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2681 and 3830 is 383. Then, The least common multiple of 383 and 2 is 766.
result = "766"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1920 and 2240, then apply lcm to the result and 31.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1920 and 2240 is 320. Then, The least common multiple of 320 and 31 is 9920.
result = "9920"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 7872 and 8856, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 7872 and 8856 is 984. Then, The least common multiple of 984 and 15 is 4920.
result = "4920"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2232 and 3069, then apply lcm to the result and 81.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2232 and 3069 is 279. Then, The least common multiple of 279 and 81 is 2511.
result = "2511"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3080 and 4235, then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3080 and 4235 is 385. Then, The least common multiple of 385 and 22 is 770.
result = "770"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3648 and 4104, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3648 and 4104 is 456. Then, The least common multiple of 456 and 26 is 5928.
result = "5928"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2444 and 4277, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2444 and 4277 is 611. Then, The least common multiple of 611 and 11 is 6721.
result = "6721"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2976 and 5456, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2976 and 5456 is 496. Then, The least common multiple of 496 and 26 is 6448.
result = "6448"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2469 and 3292, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2469 and 3292 is 823. Then, The least common multiple of 823 and 12 is 9876.
result = "9876"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1359 and 1661, then apply lcm to the result and 50.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1359 and 1661 is 151. Then, The least common multiple of 151 and 50 is 7550.
result = "7550"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1338 and 3122, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1338 and 3122 is 446. Then, The least common multiple of 446 and 8 is 1784.
result = "1784"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3150 and 4410, then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3150 and 4410 is 630. Then, The least common multiple of 630 and 27 is 1890.
result = "1890"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2684 and 3355, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2684 and 3355 is 671. Then, The least common multiple of 671 and 2 is 1342.
result = "1342"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1917 and 7029, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1917 and 7029 is 639. Then, The least common multiple of 639 and 4 is 2556.
result = "2556"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1080 and 1512, then apply lcm to the result and 82.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1080 and 1512 is 216. Then, The least common multiple of 216 and 82 is 8856.
result = "8856"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1815 and 2541, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1815 and 2541 is 363. Then, The least common multiple of 363 and 42 is 5082.
result = "5082"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2605 and 4689, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2605 and 4689 is 521. Then, The least common multiple of 521 and 8 is 4168.
result = "4168"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2373 and 3729, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2373 and 3729 is 339. Then, The least common multiple of 339 and 2 is 678.
result = "678"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1032 and 2408, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1032 and 2408 is 344. Then, The least common multiple of 344 and 9 is 3096.
result = "3096"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1980 and 2420, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1980 and 2420 is 220. Then, The least common multiple of 220 and 42 is 4620.
result = "4620"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3645 and 4050, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3645 and 4050 is 405. Then, The least common multiple of 405 and 42 is 5670.
result = "5670"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 430 and 1935, then apply lcm to the result and 44.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 430 and 1935 is 215. Then, The least common multiple of 215 and 44 is 9460.
result = "9460"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 837 and 1116, then apply lcm to the result and 63.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 837 and 1116 is 279. Then, The least common multiple of 279 and 63 is 1953.
result = "1953"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1564 and 3519, then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1564 and 3519 is 391. Then, The least common multiple of 391 and 19 is 7429.
result = "7429"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3728 and 6524, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3728 and 6524 is 932. Then, The least common multiple of 932 and 32 is 7456.
result = "7456"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1725 and 4600, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1725 and 4600 is 575. Then, The least common multiple of 575 and 13 is 7475.
result = "7475"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1848 and 2079, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1848 and 2079 is 231. Then, The least common multiple of 231 and 32 is 7392.
result = "7392"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2607 and 8690, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2607 and 8690 is 869. Then, The least common multiple of 869 and 8 is 6952.
result = "6952"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1080 and 1728, then apply lcm to the result and 63.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1080 and 1728 is 216. Then, The least common multiple of 216 and 63 is 1512.
result = "1512"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3038 and 4774, then apply lcm to the result and 23.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3038 and 4774 is 434. Then, The least common multiple of 434 and 23 is 9982.
result = "9982"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2464 and 4312, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2464 and 4312 is 616. Then, The least common multiple of 616 and 10 is 3080.
result = "3080"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2370 and 8690, then apply lcm to the result and 50.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2370 and 8690 is 790. Then, The least common multiple of 790 and 50 is 3950.
result = "3950"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2115 and 2585, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2115 and 2585 is 235. Then, The least common multiple of 235 and 60 is 2820.
result = "2820"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3264 and 3808, then apply lcm to the result and 52.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3264 and 3808 is 544. Then, The least common multiple of 544 and 52 is 7072.
result = "7072"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3208 and 8822, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3208 and 8822 is 802. Then, The least common multiple of 802 and 3 is 2406.
result = "2406"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 366 and 1647, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 366 and 1647 is 183. Then, The least common multiple of 183 and 21 is 1281.
result = "1281"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1610 and 2898, then apply lcm to the result and 62.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1610 and 2898 is 322. Then, The least common multiple of 322 and 62 is 9982.
result = "9982"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5460 and 6370, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5460 and 6370 is 910. Then, The least common multiple of 910 and 18 is 8190.
result = "8190"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 847 and 1210, then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 847 and 1210 is 121. Then, The least common multiple of 121 and 22 is 242.
result = "242"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4893 and 7689, then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4893 and 7689 is 699. Then, The least common multiple of 699 and 27 is 6291.
result = "6291"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2733 and 10021, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2733 and 10021 is 911. Then, The least common multiple of 911 and 7 is 6377.
result = "6377"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6444 and 7876, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6444 and 7876 is 716. Then, The least common multiple of 716 and 32 is 5728.
result = "5728"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3625 and 5800, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3625 and 5800 is 725. Then, The least common multiple of 725 and 60 is 8700.
result = "8700"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1130 and 2034, then apply lcm to the result and 31.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1130 and 2034 is 226. Then, The least common multiple of 226 and 31 is 7006.
result = "7006"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1824 and 4104, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1824 and 4104 is 456. Then, The least common multiple of 456 and 18 is 1368.
result = "1368"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1708 and 9394, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1708 and 9394 is 854. Then, The least common multiple of 854 and 18 is 7686.
result = "7686"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5556 and 10186, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5556 and 10186 is 926. Then, The least common multiple of 926 and 18 is 8334.
result = "8334"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 816 and 1020, then apply lcm to the result and 66.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 816 and 1020 is 204. Then, The least common multiple of 204 and 66 is 2244.
result = "2244"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5348 and 6876, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5348 and 6876 is 764. Then, The least common multiple of 764 and 3 is 2292.
result = "2292"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 327 and 436, then apply lcm to the result and 58.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 327 and 436 is 109. Then, The least common multiple of 109 and 58 is 6322.
result = "6322"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2784 and 10208, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2784 and 10208 is 928. Then, The least common multiple of 928 and 14 is 6496.
result = "6496"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1468 and 1835, then apply lcm to the result and 17.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1468 and 1835 is 367. Then, The least common multiple of 367 and 17 is 6239.
result = "6239"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1761 and 2348, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1761 and 2348 is 587. Then, The least common multiple of 587 and 12 is 7044.
result = "7044"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4055 and 5677, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4055 and 5677 is 811. Then, The least common multiple of 811 and 8 is 6488.
result = "6488"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1456 and 6552, then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1456 and 6552 is 728. Then, The least common multiple of 728 and 48 is 4368.
result = "4368"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 342 and 513, then apply lcm to the result and 69.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 342 and 513 is 171. Then, The least common multiple of 171 and 69 is 3933.
result = "3933"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5877 and 7183, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5877 and 7183 is 653. Then, The least common multiple of 653 and 14 is 9142.
result = "9142"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2688 and 3696, then apply lcm to the result and 54.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2688 and 3696 is 336. Then, The least common multiple of 336 and 54 is 3024.
result = "3024"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 740 and 1850, then apply lcm to the result and 45.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 740 and 1850 is 370. Then, The least common multiple of 370 and 45 is 3330.
result = "3330"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3640 and 5824, then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3640 and 5824 is 728. Then, The least common multiple of 728 and 36 is 6552.
result = "6552"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 910 and 1040, then apply lcm to the result and 46.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 910 and 1040 is 130. Then, The least common multiple of 130 and 46 is 2990.
result = "2990"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1300 and 4550, then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1300 and 4550 is 650. Then, The least common multiple of 650 and 22 is 7150.
result = "7150"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4424 and 4977, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4424 and 4977 is 553. Then, The least common multiple of 553 and 3 is 1659.
result = "1659"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4875 and 5850, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4875 and 5850 is 975. Then, The least common multiple of 975 and 7 is 6825.
result = "6825"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4600 and 5175, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4600 and 5175 is 575. Then, The least common multiple of 575 and 60 is 6900.
result = "6900"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1026 and 1368, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1026 and 1368 is 342. Then, The least common multiple of 342 and 10 is 1710.
result = "1710"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 238 and 1071, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 238 and 1071 is 119. Then, The least common multiple of 119 and 26 is 3094.
result = "3094"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1464 and 3294, then apply lcm to the result and 84.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1464 and 3294 is 366. Then, The least common multiple of 366 and 84 is 5124.
result = "5124"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4565 and 5478, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4565 and 5478 is 913. Then, The least common multiple of 913 and 3 is 2739.
result = "2739"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 588 and 882, then apply lcm to the result and 29.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 588 and 882 is 294. Then, The least common multiple of 294 and 29 is 8526.
result = "8526"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1956 and 2934, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1956 and 2934 is 978. Then, The least common multiple of 978 and 30 is 4890.
result = "4890"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1284 and 1498, then apply lcm to the result and 31.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1284 and 1498 is 214. Then, The least common multiple of 214 and 31 is 6634.
result = "6634"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1840 and 4140, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1840 and 4140 is 460. Then, The least common multiple of 460 and 21 is 9660.
result = "9660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2190 and 4015, then apply lcm to the result and 80.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2190 and 4015 is 365. Then, The least common multiple of 365 and 80 is 5840.
result = "5840"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3552 and 6512, then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3552 and 6512 is 592. Then, The least common multiple of 592 and 56 is 4144.
result = "4144"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1519 and 2170, then apply lcm to the result and 46.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1519 and 2170 is 217. Then, The least common multiple of 217 and 46 is 9982.
result = "9982"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 717 and 1912, then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 717 and 1912 is 239. Then, The least common multiple of 239 and 19 is 4541.
result = "4541"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1575 and 2250, then apply lcm to the result and 39.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1575 and 2250 is 225. Then, The least common multiple of 225 and 39 is 2925.
result = "2925"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3060 and 3740, then apply lcm to the result and 96.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3060 and 3740 is 340. Then, The least common multiple of 340 and 96 is 8160.
result = "8160"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2352 and 7840, then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2352 and 7840 is 784. Then, The least common multiple of 784 and 88 is 8624.
result = "8624"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2510 and 4016, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2510 and 4016 is 502. Then, The least common multiple of 502 and 30 is 7530.
result = "7530"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1824 and 2128, then apply lcm to the result and 29.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1824 and 2128 is 304. Then, The least common multiple of 304 and 29 is 8816.
result = "8816"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 472 and 2596, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 472 and 2596 is 236. Then, The least common multiple of 236 and 42 is 4956.
result = "4956"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 718 and 3949, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 718 and 3949 is 359. Then, The least common multiple of 359 and 10 is 3590.
result = "3590"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2370 and 5530, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2370 and 5530 is 790. Then, The least common multiple of 790 and 8 is 3160.
result = "3160"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3485 and 4182, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3485 and 4182 is 697. Then, The least common multiple of 697 and 13 is 9061.
result = "9061"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 7983 and 8870, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 7983 and 8870 is 887. Then, The least common multiple of 887 and 2 is 1774.
result = "1774"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6013 and 6872, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6013 and 6872 is 859. Then, The least common multiple of 859 and 4 is 3436.
result = "3436"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3780 and 6930, then apply lcm to the result and 98.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3780 and 6930 is 630. Then, The least common multiple of 630 and 98 is 4410.
result = "4410"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4382 and 6260, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4382 and 6260 is 626. Then, The least common multiple of 626 and 24 is 7512.
result = "7512"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1284 and 3424, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1284 and 3424 is 428. Then, The least common multiple of 428 and 7 is 2996.
result = "2996"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1278 and 1704, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1278 and 1704 is 426. Then, The least common multiple of 426 and 12 is 852.
result = "852"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1092 and 1560, then apply lcm to the result and 58.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1092 and 1560 is 156. Then, The least common multiple of 156 and 58 is 4524.
result = "4524"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2387 and 3751, then apply lcm to the result and 66.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2387 and 3751 is 341. Then, The least common multiple of 341 and 66 is 2046.
result = "2046"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2460 and 3075, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2460 and 3075 is 615. Then, The least common multiple of 615 and 18 is 3690.
result = "3690"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1900 and 4180, then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1900 and 4180 is 380. Then, The least common multiple of 380 and 88 is 8360.
result = "8360"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4158 and 7623, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4158 and 7623 is 693. Then, The least common multiple of 693 and 5 is 3465.
result = "3465"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 390 and 1300, then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 390 and 1300 is 130. Then, The least common multiple of 130 and 68 is 4420.
result = "4420"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1944 and 3402, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1944 and 3402 is 486. Then, The least common multiple of 486 and 15 is 2430.
result = "2430"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1852 and 4167, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1852 and 4167 is 463. Then, The least common multiple of 463 and 14 is 6482.
result = "6482"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 950 and 4275, then apply lcm to the result and 65.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 950 and 4275 is 475. Then, The least common multiple of 475 and 65 is 6175.
result = "6175"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5776 and 7942, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5776 and 7942 is 722. Then, The least common multiple of 722 and 14 is 5054.
result = "5054"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 804 and 2010, then apply lcm to the result and 78.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 804 and 2010 is 402. Then, The least common multiple of 402 and 78 is 5226.
result = "5226"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2709 and 3483, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2709 and 3483 is 387. Then, The least common multiple of 387 and 42 is 5418.
result = "5418"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2739 and 9130, then apply lcm to the result and 99.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2739 and 9130 is 913. Then, The least common multiple of 913 and 99 is 8217.
result = "8217"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1812 and 2416, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1812 and 2416 is 604. Then, The least common multiple of 604 and 32 is 4832.
result = "4832"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2697 and 3596, then apply lcm to the result and 58.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2697 and 3596 is 899. Then, The least common multiple of 899 and 58 is 1798.
result = "1798"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1953 and 6510, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1953 and 6510 is 651. Then, The least common multiple of 651 and 33 is 7161.
result = "7161"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 950 and 1425, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 950 and 1425 is 475. Then, The least common multiple of 475 and 6 is 2850.
result = "2850"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3570 and 6545, then apply lcm to the result and 51.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3570 and 6545 is 595. Then, The least common multiple of 595 and 51 is 1785.
result = "1785"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 880 and 1210, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 880 and 1210 is 110. Then, The least common multiple of 110 and 33 is 330.
result = "330"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1470 and 1960, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1470 and 1960 is 490. Then, The least common multiple of 490 and 28 is 980.
result = "980"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1395 and 2325, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1395 and 2325 is 465. Then, The least common multiple of 465 and 8 is 3720.
result = "3720"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 938 and 3283, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 938 and 3283 is 469. Then, The least common multiple of 469 and 5 is 2345.
result = "2345"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1316 and 1880, then apply lcm to the result and 78.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1316 and 1880 is 188. Then, The least common multiple of 188 and 78 is 7332.
result = "7332"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3490 and 4886, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3490 and 4886 is 698. Then, The least common multiple of 698 and 6 is 2094.
result = "2094"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1176 and 1617, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1176 and 1617 is 147. Then, The least common multiple of 147 and 12 is 588.
result = "588"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 6624 and 7452, then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6624 and 7452 is 828. Then, The least common multiple of 828 and 27 is 2484.
result = "2484"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3240 and 4536, then apply lcm to the result and 66.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3240 and 4536 is 648. Then, The least common multiple of 648 and 66 is 7128.
result = "7128"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2668 and 6003, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2668 and 6003 is 667. Then, The least common multiple of 667 and 8 is 5336.
result = "5336"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1203 and 4010, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1203 and 4010 is 401. Then, The least common multiple of 401 and 11 is 4411.
result = "4411"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1480 and 8140, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1480 and 8140 is 740. Then, The least common multiple of 740 and 18 is 6660.
result = "6660"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2052 and 2565, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2052 and 2565 is 513. Then, The least common multiple of 513 and 13 is 6669.
result = "6669"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3560 and 4272, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3560 and 4272 is 712. Then, The least common multiple of 712 and 18 is 6408.
result = "6408"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5390 and 8470, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5390 and 8470 is 770. Then, The least common multiple of 770 and 6 is 2310.
result = "2310"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1310 and 1834, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1310 and 1834 is 262. Then, The least common multiple of 262 and 4 is 524.
result = "524"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1065 and 1917, then apply lcm to the result and 78.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1065 and 1917 is 213. Then, The least common multiple of 213 and 78 is 5538.
result = "5538"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 4295 and 6872, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4295 and 6872 is 859. Then, The least common multiple of 859 and 4 is 3436.
result = "3436"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1500 and 5000, then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1500 and 5000 is 500. Then, The least common multiple of 500 and 36 is 4500.
result = "4500"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1058 and 4761, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1058 and 4761 is 529. Then, The least common multiple of 529 and 10 is 5290.
result = "5290"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 3094 and 3978, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3094 and 3978 is 442. Then, The least common multiple of 442 and 21 is 9282.
result = "9282"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 8163 and 9070, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 8163 and 9070 is 907. Then, The least common multiple of 907 and 7 is 6349.
result = "6349"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1458 and 4860, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1458 and 4860 is 486. Then, The least common multiple of 486 and 7 is 3402.
result = "3402"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1827 and 2030, then apply lcm to the result and 91.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1827 and 2030 is 203. Then, The least common multiple of 203 and 91 is 2639.
result = "2639"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 1344 and 1728, then apply lcm to the result and 44.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1344 and 1728 is 192. Then, The least common multiple of 192 and 44 is 2112.
result = "2112"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2392 and 5382, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2392 and 5382 is 598. Then, The least common multiple of 598 and 15 is 8970.
result = "8970"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2824 and 6354, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2824 and 6354 is 706. Then, The least common multiple of 706 and 5 is 3530.
result = "3530"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2181 and 5816, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2181 and 5816 is 727. Then, The least common multiple of 727 and 13 is 9451.
result = "9451"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 5334 and 6096, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5334 and 6096 is 762. Then, The least common multiple of 762 and 33 is 8382.
result = "8382"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply gcf to 2170 and 3038, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2170 and 3038 is 434. Then, The least common multiple of 434 and 21 is 1302.
result = "1302"