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 47 and 58, then apply gcf to the result and 47705.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 47 and 58 is 2726. Then, The greatest common factor of 2726 and 47705 is 1363.
result = "1363"


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 70 and 194, then apply gcf to the result and 9215.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 70 and 194 is 6790. Then, The greatest common factor of 6790 and 9215 is 485.
result = "485"


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 56 and 64, then apply gcf to the result and 4368.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 56 and 64 is 448. Then, The greatest common factor of 448 and 4368 is 112.
result = "112"


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 90 and 63, then apply gcf to the result and 525.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 90 and 63 is 630. Then, The greatest common factor of 630 and 525 is 105.
result = "105"


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 144 and 100, then apply gcf to the result and 3750.
Show your working, then end with:
result = "<...>"

Response:
The least common multiple of 144 and 100 is 3600. Then, The greatest common factor of 3600 and 3750 is 150.
result = "150"


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 1370 and 3425, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1370 and 3425 is 685. Then, The least common multiple of 685 and 3 is 2055.
result = "2055"


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 1244 and 3421, then apply lcm to the result and 22.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1244 and 3421 is 311. Then, The least common multiple of 311 and 22 is 6842.
result = "6842"


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 675 and 945, then apply lcm to the result and 64.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 675 and 945 is 135. Then, The least common multiple of 135 and 64 is 8640.
result = "8640"


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 870 and 3045, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 870 and 3045 is 435. Then, The least common multiple of 435 and 33 is 4785.
result = "4785"


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 3452 and 4315, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3452 and 4315 is 863. Then, The least common multiple of 863 and 7 is 6041.
result = "6041"


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 4240 and 5830, then apply lcm to the result and 50.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4240 and 5830 is 530. Then, The least common multiple of 530 and 50 is 2650.
result = "2650"


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 1593 and 5310, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1593 and 5310 is 531. Then, The least common multiple of 531 and 24 is 4248.
result = "4248"


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 2406 and 8020, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2406 and 8020 is 802. Then, The least common multiple of 802 and 7 is 5614.
result = "5614"


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 1392 and 2088, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1392 and 2088 is 696. Then, The least common multiple of 696 and 32 is 2784.
result = "2784"


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 711 and 1185, then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 711 and 1185 is 237. Then, The least common multiple of 237 and 40 is 9480.
result = "9480"


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 2596 and 3245, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2596 and 3245 is 649. Then, The least common multiple of 649 and 10 is 6490.
result = "6490"


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 3840 and 6912, then apply lcm to the result and 66.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3840 and 6912 is 768. Then, The least common multiple of 768 and 66 is 8448.
result = "8448"


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 2080 and 2340, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2080 and 2340 is 260. Then, The least common multiple of 260 and 30 is 780.
result = "780"


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 1566 and 3654, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1566 and 3654 is 522. Then, The least common multiple of 522 and 11 is 5742.
result = "5742"


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 5814 and 7106, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5814 and 7106 is 646. Then, The least common multiple of 646 and 12 is 3876.
result = "3876"


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 1012 and 1771, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1012 and 1771 is 253. Then, The least common multiple of 253 and 21 is 5313.
result = "5313"


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 1505 and 2150, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1505 and 2150 is 215. Then, The least common multiple of 215 and 14 is 3010.
result = "3010"


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 1656 and 2208, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1656 and 2208 is 552. Then, The least common multiple of 552 and 26 is 7176.
result = "7176"


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 1828 and 4113, then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1828 and 4113 is 457. Then, The least common multiple of 457 and 20 is 9140.
result = "9140"


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 3660 and 5124, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3660 and 5124 is 732. Then, The least common multiple of 732 and 24 is 1464.
result = "1464"


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 1970 and 8865, then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1970 and 8865 is 985. Then, The least common multiple of 985 and 40 is 7880.
result = "7880"


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 3584, then apply lcm to the result and 63.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2688 and 3584 is 896. Then, The least common multiple of 896 and 63 is 8064.
result = "8064"


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 3564 and 4455, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3564 and 4455 is 891. Then, The least common multiple of 891 and 30 is 8910.
result = "8910"


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 525 and 840, then apply lcm to the result and 93.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 525 and 840 is 105. Then, The least common multiple of 105 and 93 is 3255.
result = "3255"


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 432 and 1584, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 432 and 1584 is 144. Then, The least common multiple of 144 and 42 is 1008.
result = "1008"


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 696 and 2436, then apply lcm to the result and 76.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 696 and 2436 is 348. Then, The least common multiple of 348 and 76 is 6612.
result = "6612"


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 1048 and 1834, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1048 and 1834 is 262. Then, The least common multiple of 262 and 32 is 4192.
result = "4192"


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 4265 and 5971, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4265 and 5971 is 853. Then, The least common multiple of 853 and 10 is 8530.
result = "8530"


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 1350 and 1620, then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1350 and 1620 is 270. Then, The least common multiple of 270 and 19 is 5130.
result = "5130"


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 2650 and 4240, then apply lcm to the result and 70.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2650 and 4240 is 530. Then, The least common multiple of 530 and 70 is 3710.
result = "3710"


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 2485 and 2982, then apply lcm to the result and 91.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2485 and 2982 is 497. Then, The least common multiple of 497 and 91 is 6461.
result = "6461"


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 1345 and 2152, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1345 and 2152 is 269. Then, The least common multiple of 269 and 14 is 3766.
result = "3766"


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 4200 and 4725, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4200 and 4725 is 525. Then, The least common multiple of 525 and 6 is 1050.
result = "1050"


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 1984 and 2976, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1984 and 2976 is 992. Then, The least common multiple of 992 and 10 is 4960.
result = "4960"


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 604 and 755, then apply lcm to the result and 13.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 604 and 755 is 151. Then, The least common multiple of 151 and 13 is 1963.
result = "1963"


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 510 and 2295, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 510 and 2295 is 255. Then, The least common multiple of 255 and 60 is 1020.
result = "1020"


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 6671 and 10483, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6671 and 10483 is 953. Then, The least common multiple of 953 and 6 is 5718.
result = "5718"


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 2409 and 4015, then apply lcm to the result and 77.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2409 and 4015 is 803. Then, The least common multiple of 803 and 77 is 5621.
result = "5621"


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 5512 and 6201, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5512 and 6201 is 689. Then, The least common multiple of 689 and 5 is 3445.
result = "3445"


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 8334, then apply lcm to the result and 7.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1852 and 8334 is 926. Then, The least common multiple of 926 and 7 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 6399 and 7821, then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6399 and 7821 is 711. Then, The least common multiple of 711 and 72 is 5688.
result = "5688"


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 1770 and 7965, then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1770 and 7965 is 885. Then, The least common multiple of 885 and 20 is 3540.
result = "3540"


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 2345 and 5159, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2345 and 5159 is 469. Then, The least common multiple of 469 and 12 is 5628.
result = "5628"


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 3525, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2115 and 3525 is 705. Then, The least common multiple of 705 and 14 is 9870.
result = "9870"


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 2400 and 8000, then apply lcm to the result and 90.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2400 and 8000 is 800. Then, The least common multiple of 800 and 90 is 7200.
result = "7200"


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 4735 and 6629, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4735 and 6629 is 947. Then, The least common multiple of 947 and 2 is 1894.
result = "1894"


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 1256 and 2826, then apply lcm to the result and 54.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1256 and 2826 is 314. Then, The least common multiple of 314 and 54 is 8478.
result = "8478"


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 3980 and 6965, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3980 and 6965 is 995. Then, The least common multiple of 995 and 10 is 1990.
result = "1990"


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 1368 and 3648, then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1368 and 3648 is 456. Then, The least common multiple of 456 and 48 is 912.
result = "912"


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 2268 and 5103, then apply lcm to the result and 99.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2268 and 5103 is 567. Then, The least common multiple of 567 and 99 is 6237.
result = "6237"


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 1788 and 2086, then apply lcm to the result and 38.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1788 and 2086 is 298. Then, The least common multiple of 298 and 38 is 5662.
result = "5662"


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 4039 and 4616, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4039 and 4616 is 577. Then, The least common multiple of 577 and 12 is 6924.
result = "6924"


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 5672 and 7799, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5672 and 7799 is 709. Then, The least common multiple of 709 and 4 is 2836.
result = "2836"


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 4683 and 7359, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4683 and 7359 is 669. Then, The least common multiple of 669 and 8 is 5352.
result = "5352"


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 1625 and 2925, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1625 and 2925 is 325. Then, The least common multiple of 325 and 11 is 3575.
result = "3575"


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 1593 and 2655, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1593 and 2655 is 531. Then, The least common multiple of 531 and 4 is 2124.
result = "2124"


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 1503 and 2505, then apply lcm to the result and 45.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1503 and 2505 is 501. Then, The least common multiple of 501 and 45 is 7515.
result = "7515"


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 685 and 1233, then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 685 and 1233 is 137. Then, The least common multiple of 137 and 48 is 6576.
result = "6576"


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 2241 and 2739, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2241 and 2739 is 249. Then, The least common multiple of 249 and 24 is 1992.
result = "1992"


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 3696 and 4158, then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3696 and 4158 is 462. Then, The least common multiple of 462 and 56 is 1848.
result = "1848"


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 7536 and 8478, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 7536 and 8478 is 942. Then, The least common multiple of 942 and 60 is 9420.
result = "9420"


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 1491 and 2485, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1491 and 2485 is 497. Then, The least common multiple of 497 and 14 is 994.
result = "994"


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 1562, then apply lcm to the result and 25.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1278 and 1562 is 142. Then, The least common multiple of 142 and 25 is 3550.
result = "3550"


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 4530 and 5285, then apply lcm to the result and 50.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4530 and 5285 is 755. Then, The least common multiple of 755 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 755 and 1661, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 755 and 1661 is 151. Then, The least common multiple of 151 and 8 is 1208.
result = "1208"


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 807 and 2690, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 807 and 2690 is 269. Then, The least common multiple of 269 and 30 is 8070.
result = "8070"


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 750 and 1350, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 750 and 1350 is 150. Then, The least common multiple of 150 and 24 is 600.
result = "600"


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 1212 and 1414, then apply lcm to the result and 74.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1212 and 1414 is 202. Then, The least common multiple of 202 and 74 is 7474.
result = "7474"


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 716 and 895, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 716 and 895 is 179. Then, The least common multiple of 179 and 26 is 4654.
result = "4654"


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 1809 and 2412, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1809 and 2412 is 603. Then, The least common multiple of 603 and 6 is 1206.
result = "1206"


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 2216 and 2493, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2216 and 2493 is 277. Then, The least common multiple of 277 and 24 is 6648.
result = "6648"


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 4865 and 5560, then apply lcm to the result and 55.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4865 and 5560 is 695. Then, The least common multiple of 695 and 55 is 7645.
result = "7645"


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 1280 and 1792, then apply lcm to the result and 84.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1280 and 1792 is 256. Then, The least common multiple of 256 and 84 is 5376.
result = "5376"


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 3252 and 5691, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3252 and 5691 is 813. Then, The least common multiple of 813 and 15 is 4065.
result = "4065"


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 3724 and 4788, then apply lcm to the result and 70.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3724 and 4788 is 532. Then, The least common multiple of 532 and 70 is 2660.
result = "2660"


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 6120 and 8415, then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6120 and 8415 is 765. Then, The least common multiple of 765 and 68 is 3060.
result = "3060"


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 3670 and 4404, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3670 and 4404 is 734. Then, The least common multiple of 734 and 3 is 2202.
result = "2202"


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 2343 and 3124, then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2343 and 3124 is 781. Then, The least common multiple of 781 and 88 is 6248.
result = "6248"


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 3465 and 3960, then apply lcm to the result and 14.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3465 and 3960 is 495. Then, The least common multiple of 495 and 14 is 6930.
result = "6930"


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 26.
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 26 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 5896 and 8107, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5896 and 8107 is 737. Then, The least common multiple of 737 and 5 is 3685.
result = "3685"


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 704 and 1232, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 704 and 1232 is 176. Then, The least common multiple of 176 and 6 is 528.
result = "528"


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 702 and 819, then apply lcm to the result and 57.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 702 and 819 is 117. Then, The least common multiple of 117 and 57 is 2223.
result = "2223"


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 3568 and 4014, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3568 and 4014 is 446. Then, The least common multiple of 446 and 24 is 5352.
result = "5352"


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 1688 and 4220, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1688 and 4220 is 844. Then, The least common multiple of 844 and 28 is 5908.
result = "5908"


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 690 and 2300, then apply lcm to the result and 27.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 690 and 2300 is 230. Then, The least common multiple of 230 and 27 is 6210.
result = "6210"


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 3168 and 3520, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3168 and 3520 is 352. Then, The least common multiple of 352 and 33 is 1056.
result = "1056"


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 2475 and 5445, then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2475 and 5445 is 495. Then, The least common multiple of 495 and 72 is 3960.
result = "3960"


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 1758 and 2637, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1758 and 2637 is 879. Then, The least common multiple of 879 and 18 is 5274.
result = "5274"


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 210 and 945, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 210 and 945 is 105. Then, The least common multiple of 105 and 9 is 315.
result = "315"


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 5614 and 8020, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5614 and 8020 is 802. Then, The least common multiple of 802 and 24 is 9624.
result = "9624"


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 1589 and 1816, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1589 and 1816 is 227. Then, The least common multiple of 227 and 10 is 2270.
result = "2270"


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 684 and 1254, then apply lcm to the result and 96.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 684 and 1254 is 114. Then, The least common multiple of 114 and 96 is 1824.
result = "1824"


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 2331 and 3108, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2331 and 3108 is 777. Then, The least common multiple of 777 and 8 is 6216.
result = "6216"


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 1992 and 2656, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1992 and 2656 is 664. Then, The least common multiple of 664 and 60 is 9960.
result = "9960"


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 3048 and 3556, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3048 and 3556 is 508. Then, The least common multiple of 508 and 60 is 7620.
result = "7620"


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 4200 and 4800, then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4200 and 4800 is 600. Then, The least common multiple of 600 and 48 is 1200.
result = "1200"


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 1562 and 5467, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1562 and 5467 is 781. Then, The least common multiple of 781 and 3 is 2343.
result = "2343"


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 771 and 2056, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 771 and 2056 is 257. Then, The least common multiple of 257 and 12 is 3084.
result = "3084"


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 1911 and 6370, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1911 and 6370 is 637. Then, The least common multiple of 637 and 15 is 9555.
result = "9555"


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 1298 and 5841, then apply lcm to the result and 44.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1298 and 5841 is 649. Then, The least common multiple of 649 and 44 is 2596.
result = "2596"


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 1858 and 2787, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1858 and 2787 is 929. Then, The least common multiple of 929 and 9 is 8361.
result = "8361"


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 1498 and 3745, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1498 and 3745 is 749. Then, The least common multiple of 749 and 9 is 6741.
result = "6741"


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 638 and 3509, then apply lcm to the result and 55.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 638 and 3509 is 319. Then, The least common multiple of 319 and 55 is 1595.
result = "1595"


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 2032 and 2794, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2032 and 2794 is 254. Then, The least common multiple of 254 and 5 is 1270.
result = "1270"


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 2415 and 3381, then apply lcm to the result and 92.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2415 and 3381 is 483. Then, The least common multiple of 483 and 92 is 1932.
result = "1932"


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 1090 and 1308, then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1090 and 1308 is 218. Then, The least common multiple of 218 and 40 is 4360.
result = "4360"


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 6325, then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4600 and 6325 is 575. Then, The least common multiple of 575 and 20 is 2300.
result = "2300"


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 512 and 896, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 512 and 896 is 128. Then, The least common multiple of 128 and 21 is 2688.
result = "2688"


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 3372 and 6182, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3372 and 6182 is 562. Then, The least common multiple of 562 and 24 is 6744.
result = "6744"


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 2230 and 3122, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2230 and 3122 is 446. Then, The least common multiple of 446 and 21 is 9366.
result = "9366"


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 720 and 864, then apply lcm to the result and 51.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 720 and 864 is 144. Then, The least common multiple of 144 and 51 is 2448.
result = "2448"


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 1350 and 1620, then apply lcm to the result and 37.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1350 and 1620 is 270. Then, The least common multiple of 270 and 37 is 9990.
result = "9990"


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 1580 and 1896, then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1580 and 1896 is 316. Then, The least common multiple of 316 and 68 is 5372.
result = "5372"


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 2766 and 3227, then apply lcm to the result and 21.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2766 and 3227 is 461. Then, The least common multiple of 461 and 21 is 9681.
result = "9681"


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 2271 and 8327, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2271 and 8327 is 757. Then, The least common multiple of 757 and 9 is 6813.
result = "6813"


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 1136 and 2840, then apply lcm to the result and 88.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1136 and 2840 is 568. Then, The least common multiple of 568 and 88 is 6248.
result = "6248"


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 2210 and 3094, then apply lcm to the result and 68.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2210 and 3094 is 442. Then, The least common multiple of 442 and 68 is 884.
result = "884"


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 596 and 1043, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 596 and 1043 is 149. Then, The least common multiple of 149 and 12 is 1788.
result = "1788"


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 5698 and 7326, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5698 and 7326 is 814. Then, The least common multiple of 814 and 6 is 2442.
result = "2442"


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 460 and 1150, then apply lcm to the result and 3.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 460 and 1150 is 230. Then, The least common multiple of 230 and 3 is 690.
result = "690"


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 1896 and 4266, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1896 and 4266 is 474. Then, The least common multiple of 474 and 30 is 2370.
result = "2370"


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 3875 and 4650, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3875 and 4650 is 775. Then, The least common multiple of 775 and 15 is 2325.
result = "2325"


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 676 and 845, then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 676 and 845 is 169. Then, The least common multiple of 169 and 56 is 9464.
result = "9464"


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 1254 and 1672, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1254 and 1672 is 418. Then, The least common multiple of 418 and 18 is 3762.
result = "3762"


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 5292 and 6174, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5292 and 6174 is 882. Then, The least common multiple of 882 and 10 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 4870 and 10714, then apply lcm to the result and 18.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4870 and 10714 is 974. Then, The least common multiple of 974 and 18 is 8766.
result = "8766"


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 1038 and 1903, then apply lcm to the result and 52.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1038 and 1903 is 173. Then, The least common multiple of 173 and 52 is 8996.
result = "8996"


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 1132 and 3962, then apply lcm to the result and 28.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1132 and 3962 is 566. Then, The least common multiple of 566 and 28 is 7924.
result = "7924"


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 448 and 1232, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 448 and 1232 is 112. Then, The least common multiple of 112 and 24 is 336.
result = "336"


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 2958 and 3451, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2958 and 3451 is 493. Then, The least common multiple of 493 and 9 is 4437.
result = "4437"


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 2384 and 5364, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2384 and 5364 is 596. Then, The least common multiple of 596 and 8 is 1192.
result = "1192"


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 3612 and 4128, then apply lcm to the result and 38.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3612 and 4128 is 516. Then, The least common multiple of 516 and 38 is 9804.
result = "9804"


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 1710 and 2280, then apply lcm to the result and 16.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1710 and 2280 is 570. Then, The least common multiple of 570 and 16 is 4560.
result = "4560"


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 3832 and 8622, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3832 and 8622 is 958. Then, The least common multiple of 958 and 12 is 5748.
result = "5748"


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 535 and 749, then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 535 and 749 is 107. Then, The least common multiple of 107 and 72 is 7704.
result = "7704"


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 3294, then apply lcm to the result and 63.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1830 and 3294 is 366. Then, The least common multiple of 366 and 63 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 1970 and 6895, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1970 and 6895 is 985. Then, The least common multiple of 985 and 30 is 5910.
result = "5910"


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 4527 and 5030, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4527 and 5030 is 503. Then, The least common multiple of 503 and 4 is 2012.
result = "2012"


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 2216 and 6094, then apply lcm to the result and 4.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2216 and 6094 is 554. Then, The least common multiple of 554 and 4 is 1108.
result = "1108"


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 4896, then apply lcm to the result and 40.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3060 and 4896 is 612. Then, The least common multiple of 612 and 40 is 6120.
result = "6120"


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 864 and 2016, then apply lcm to the result and 30.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 864 and 2016 is 288. Then, The least common multiple of 288 and 30 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 4501 and 6430, then apply lcm to the result and 5.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4501 and 6430 is 643. Then, The least common multiple of 643 and 5 is 3215.
result = "3215"


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 3270 and 5886, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3270 and 5886 is 654. Then, The least common multiple of 654 and 9 is 1962.
result = "1962"


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 1072 and 2412, then apply lcm to the result and 23.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1072 and 2412 is 268. Then, The least common multiple of 268 and 23 is 6164.
result = "6164"


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 1088 and 2992, then apply lcm to the result and 42.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1088 and 2992 is 272. Then, The least common multiple of 272 and 42 is 5712.
result = "5712"


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 715 and 1001, then apply lcm to the result and 33.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 715 and 1001 is 143. Then, The least common multiple of 143 and 33 is 429.
result = "429"


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 272 and 408, then apply lcm to the result and 20.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 272 and 408 is 136. Then, The least common multiple of 136 and 20 is 680.
result = "680"


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 3975 and 4770, then apply lcm to the result and 60.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3975 and 4770 is 795. Then, The least common multiple of 795 and 60 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 234 and 1287, then apply lcm to the result and 34.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 234 and 1287 is 117. Then, The least common multiple of 117 and 34 is 3978.
result = "3978"


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 284 and 1562, then apply lcm to the result and 32.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 284 and 1562 is 142. Then, The least common multiple of 142 and 32 is 2272.
result = "2272"


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 1085 and 1519, then apply lcm to the result and 93.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1085 and 1519 is 217. Then, The least common multiple of 217 and 93 is 651.
result = "651"


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 4088 and 5840, then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4088 and 5840 is 584. Then, The least common multiple of 584 and 72 is 5256.
result = "5256"


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 3752 and 5360, then apply lcm to the result and 44.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3752 and 5360 is 536. Then, The least common multiple of 536 and 44 is 5896.
result = "5896"


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 5688 and 6399, then apply lcm to the result and 39.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5688 and 6399 is 711. Then, The least common multiple of 711 and 39 is 9243.
result = "9243"


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 1078 and 2695, then apply lcm to the result and 15.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1078 and 2695 is 539. Then, The least common multiple of 539 and 15 is 8085.
result = "8085"


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 3558 and 6523, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3558 and 6523 is 593. Then, The least common multiple of 593 and 10 is 5930.
result = "5930"


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 1305 and 2349, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1305 and 2349 is 261. Then, The least common multiple of 261 and 26 is 6786.
result = "6786"


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 6167 and 7929, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6167 and 7929 is 881. Then, The least common multiple of 881 and 11 is 9691.
result = "9691"


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 5296 and 5958, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 5296 and 5958 is 662. Then, The least common multiple of 662 and 12 is 3972.
result = "3972"


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 564 and 1316, then apply lcm to the result and 84.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 564 and 1316 is 188. Then, The least common multiple of 188 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 834 and 1112, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 834 and 1112 is 278. Then, The least common multiple of 278 and 26 is 3614.
result = "3614"


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 7848 and 9592, then apply lcm to the result and 12.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 7848 and 9592 is 872. Then, The least common multiple of 872 and 12 is 2616.
result = "2616"


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 5859, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3348 and 5859 is 837. Then, The least common multiple of 837 and 2 is 1674.
result = "1674"


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 3590 and 5026, then apply lcm to the result and 24.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3590 and 5026 is 718. Then, The least common multiple of 718 and 24 is 8616.
result = "8616"


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 6433 and 10109, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 6433 and 10109 is 919. Then, The least common multiple of 919 and 9 is 8271.
result = "8271"


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 1477 and 1899, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1477 and 1899 is 211. Then, The least common multiple of 211 and 10 is 2110.
result = "2110"


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 1128 and 2632, then apply lcm to the result and 38.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1128 and 2632 is 376. Then, The least common multiple of 376 and 38 is 7144.
result = "7144"


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 2588 and 3235, then apply lcm to the result and 11.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2588 and 3235 is 647. Then, The least common multiple of 647 and 11 is 7117.
result = "7117"


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 798 and 1140, then apply lcm to the result and 59.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 798 and 1140 is 114. Then, The least common multiple of 114 and 59 is 6726.
result = "6726"


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 1335 and 2937, then apply lcm to the result and 19.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1335 and 2937 is 267. Then, The least common multiple of 267 and 19 is 5073.
result = "5073"


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 1551 and 3619, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1551 and 3619 is 517. Then, The least common multiple of 517 and 10 is 5170.
result = "5170"


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 550 and 1925, then apply lcm to the result and 45.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 550 and 1925 is 275. Then, The least common multiple of 275 and 45 is 2475.
result = "2475"


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 4584 and 8404, then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4584 and 8404 is 764. Then, The least common multiple of 764 and 36 is 6876.
result = "6876"


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 1772 and 9746, then apply lcm to the result and 9.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1772 and 9746 is 886. Then, The least common multiple of 886 and 9 is 7974.
result = "7974"


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 3864 and 4416, then apply lcm to the result and 96.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3864 and 4416 is 552. Then, The least common multiple of 552 and 96 is 2208.
result = "2208"


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 1550 and 3875, then apply lcm to the result and 6.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1550 and 3875 is 775. Then, The least common multiple of 775 and 6 is 4650.
result = "4650"


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 4932 and 5480, then apply lcm to the result and 72.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4932 and 5480 is 548. Then, The least common multiple of 548 and 72 is 9864.
result = "9864"


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 6480, then apply lcm to the result and 48.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1944 and 6480 is 648. Then, The least common multiple of 648 and 48 is 1296.
result = "1296"


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 1995 and 3591, then apply lcm to the result and 10.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1995 and 3591 is 399. Then, The least common multiple of 399 and 10 is 3990.
result = "3990"


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 2562 and 2928, then apply lcm to the result and 39.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2562 and 2928 is 366. Then, The least common multiple of 366 and 39 is 4758.
result = "4758"


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 2148 and 2506, then apply lcm to the result and 50.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2148 and 2506 is 358. Then, The least common multiple of 358 and 50 is 8950.
result = "8950"


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 1680 and 4620, then apply lcm to the result and 56.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1680 and 4620 is 420. Then, The least common multiple of 420 and 56 is 840.
result = "840"


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 1542 and 2056, then apply lcm to the result and 16.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1542 and 2056 is 514. Then, The least common multiple of 514 and 16 is 4112.
result = "4112"


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 2277 and 2783, then apply lcm to the result and 2.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 2277 and 2783 is 253. Then, The least common multiple of 253 and 2 is 506.
result = "506"


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 3878 and 5540, then apply lcm to the result and 36.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 3878 and 5540 is 554. Then, The least common multiple of 554 and 36 is 9972.
result = "9972"


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 789 and 2893, then apply lcm to the result and 26.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 789 and 2893 is 263. Then, The least common multiple of 263 and 26 is 6838.
result = "6838"


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 4782 and 5579, then apply lcm to the result and 8.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 4782 and 5579 is 797. Then, The least common multiple of 797 and 8 is 6376.
result = "6376"


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 1078 and 1540, then apply lcm to the result and 76.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1078 and 1540 is 154. Then, The least common multiple of 154 and 76 is 5852.
result = "5852"


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 1365 and 2457, then apply lcm to the result and 70.
Show your working, then end with:
result = "<...>"

Response:
The greatest common factor of 1365 and 2457 is 273. Then, The least common multiple of 273 and 70 is 2730.
result = "2730"