What are the common multiples of 51 and 14?

Common multiples of 51 and 14 are numbers that both 51 and 14 can be divided into evenly with no remainder.

To find the common multiples of 51 and 14, we compare the list of multiples of 51 with the list of multiples of 14 to see what they have in common.

To create a list of multiples of 51, we multiply 51 by 1, 51 by 2, and so on like this:

51 x 1 = 51
51 x 2 = 102
51 x 3 = 153
51 x 4 = 204
...

Similarly, to create a list of multiples of 14, we multiply 14 by 1, 14 by 2, and so on like this:

14 x 1 = 14
14 x 2 = 28
14 x 3 = 42
14 x 4 = 56
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 51 and 14?"

714, 1428, 2142, 2856, etc.

Since 714 is the first number they have in common, 714 is the least common multiple of 51 and 14.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 714 (the least common multiple), so you can continue the green list above with more common multiples of 51 and 14 by simply adding 714 to the last number on the list.

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