12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140
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The first five multiples of 14 are: 14, 28, 42, 56, 70.
The multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, and so on. The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on. The only common multiple within the first 10 multiples of both is 42.
The common multiples of 14 and 35 are numbers that are divisible by both 14 and 35. To find the common multiples, we first list the multiples of each number. The multiples of 14 are 14, 28, 42, 56, 70, etc., and the multiples of 35 are 35, 70, 105, 140, etc. The common multiples of 14 and 35 are numbers that appear in both lists, such as 70.
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.