7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105 and etc.
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Multiples of 7 include 7, 14, 21, 28 and so on. For them to be common, they need to be compared to another set of multiples.
Well, darling, those multiples belong to the number 7. Each of those numbers is a multiple of 7, so if you're looking for a number that has all those as multiples, 7 is your lucky winner.
7 (has no multiples)
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.
Let the consecutive multiples of 7 be 7x and 7(x+1).7x + 7(x+1) = 1267x + 7x + 7 = 12614x + 7 + 12614x = 126 - 714x = 119x = 119/14x = 8.5For 7x to be a multiple of 7, x must be a whole number, so there are no such consecutive multiples.