The common multiples of 12 and 56 are the multiples of their lowest common multiple:
12 = 2^2 x 3
56 = 2^3 x 7
→ lcm = 2^3 x 3 x 7 = 168
Which means the common multiples of 12 and 56 are the multiples of 168, namely:
168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896, 8064, 8232, 8400, 8568, 8736, 8904, 9072, 9240, 9408, 9576, 9744, 9912, 10080, 10248, 10416, 10584, 10752, 10920, 11088, 11256, 11424, 11592, 11760, 11928, 12096, 12264, 12432, 12600, 12768, 12936, 13104, 13272, 13440, 13608, 13776, 13944, 14112, 14280, 14448, 14616, 14784, 14952, 15120, 15288, 15456, 15624, 15792, 15960, 16128, 16296, 16464, 16632, 16800, ...
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Because the LCM of 12 and 56 is 168 and 336 is the next common multiple
The common multiples of 8 and 12 that are less than 100 are 24, 40, 48, 56, 64, 72, 80, 88, and 96.
56
lcm(2, 7) = 14 → first 3 common multiples are: 14, 28, 42; lcm(2, 8) = 8 → first 3 common multiples are: 8, 16, 24; lcm(7, 8) = 56 → first 3 common multiples are: 56, 112, 168; lcm(2, 7, 8) = 56 → first 3 common multiples are: 56, 112, 168.
Since the LCM is 12 then the common multiples are multiples of 12 12, 24, 36, 48