The common multiples of 6, 7, and 8 are numbers that are divisible by all three of these numbers. To find the common multiples, we first list the multiples of each number: 6 (6, 12, 18, 24, 30, ...), 7 (7, 14, 21, 28, 35, ...), and 8 (8, 16, 24, 32, 40, ...). The common multiples of 6, 7, and 8 are the numbers that appear in all three lists, such as 24 and 48.
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6: 12,18,24,30,36,42,48,54,60 . . . 7: 14,21,28,35,42,49,56,63,70 . . . 8: 16,24,32,40,48,56,64,72,80 . . .
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To find the common multiples of 2, 3, and 7, we first list the multiples of each number: Multiples of 2: 2, 4, 6, 8, 10, 12, ... Multiples of 3: 3, 6, 9, 12, 15, 18, ... Multiples of 7: 7, 14, 21, 28, 35, ... The first common multiple of 2, 3, and 7 is 6, as it is the smallest number that is a multiple of all three numbers. The second common multiple is 12, as it is the next number that is a multiple of all three numbers.
The common multiples are the infinite set of the multiples of the LCM of 7 and 8. Therefore, the common multiples of 7 and 8 are 56, 112, 168, 224, 280, and so on.
Common multiples include any multiple of 168.