What are the multiples of 49 and 156?

Answer 1

The multiples of 21 are:

21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819, 840, 861, 882, 903, 924, 945, 966, 987, 1008, 1029, 1050, 1071, 1092, 1113, 1134, 1155, 1176, 1197, 1218, 1239, 1260, 1281, 1302, 1323, 1344, 1365, 1386, 1407, 1428, 1449, 1470, 1491, 1512, 1533, 1554, 1575, 1596, 1617, 1638, 1659, 1680, 1701, 1722, 1743, 1764, 1785, 1806, 1827, 1848, 1869, 1890, 1911, 1932, 1953, 1974, 1995, 2016, 2037, 2058, 2079, 2100, ...

The multiples of 49 are:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087, 3136, 3185, 3234, 3283, 3332, 3381, 3430, 3479, 3528, 3577, 3626, 3675, 3724, 3773, 3822, 3871, 3920, 3969, 4018, 4067, 4116, 4165, 4214, 4263, 4312, 4361, 4410, 4459, 4508, 4557, 4606, 4655, 4704, 4753, 4802, 4851, 4900, ...

The multiples of 56 are:

56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736, 1792, 1848, 1904, 1960, 2016, 2072, 2128, 2184, 2240, 2296, 2352, 2408, 2464, 2520, 2576, 2632, 2688, 2744, 2800, 2856, 2912, 2968, 3024, 3080, 3136, 3192, 3248, 3304, 3360, 3416, 3472, 3528, 3584, 3640, 3696, 3752, 3808, 3864, 3920, 3976, 4032, 4088, 4144, 4200, 4256, 4312, 4368, 4424, 4480, 4536, 4592, 4648, 4704, 4760, 4816, 4872, 4928, 4984, 5040, 5096, 5152, 5208, 5264, 5320, 5376, 5432, 5488, 5544, 5600, ...

Their common multiples are the multiples of their lowest common multiple:

21 = 3 x 7

49 = 7²

56 = 2³ x 7

lcm(21, 49, 56) = 2³ x 3 x 7² = 1176

which are:

1176, 2352, 3528, 4704, 5880, 7056, 8232, 9408, 10584, 11760, 12936, 14112, 15288, 16464, 17640, 18816, 19992, 21168, 22344, 23520, 24696, 25872, 27048, 28224, 29400, 30576, 31752, 32928, 34104, 35280, 36456, 37632, 38808, 39984, 41160, 42336, 43512, 44688, 45864, 47040, 48216, 49392, 50568, 51744, 52920, 54096, 55272, 56448, 57624, 58800, 59976, 61152, 62328, 63504, 64680, 65856, 67032, 68208, 69384, 70560, 71736, 72912, 74088, 75264, 76440, 77616, 78792, 79968, 81144, 82320, 83496, 84672, 85848, 87024, 88200, 89376, 90552, 91728, 92904, 94080, 95256, 96432, 97608, 98784, 99960, 101136, 102312, 103488, 104664, 105840, 107016, 108192, 109368, 110544, 111720, 112896, 114072, 115248, 116424, 117600, ...

Answer 2

Common multiples include 1176, 2352, 3528 and so on.

Answer 3

• 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, . . .
• 156, 312, 468, 624, 780, 936, 1092, 1248, 1404, 1560, 1716, . . .