What are the common multiples of 10 and 71?

Common multiples of 10 and 71 are numbers that both 10 and 71 can be divided into evenly with no remainder.

To find the common multiples of 10 and 71, we compare the list of multiples of 10 with the list of multiples of 71 to see what they have in common.

To create a list of multiples of 10, we multiply 10 by 1, 10 by 2, and so on like this:

10 x 1 = 10
10 x 2 = 20
10 x 3 = 30
10 x 4 = 40
...

Similarly, to create a list of multiples of 71, we multiply 71 by 1, 71 by 2, and so on like this:

71 x 1 = 71
71 x 2 = 142
71 x 3 = 213
71 x 4 = 284
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 10 and 71?"

710, 1420, 2130, 2840, etc.

Since 710 is the first number they have in common, 710 is the least common multiple of 10 and 71.

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 710 (the least common multiple), so you can continue the green list above with more common multiples of 10 and 71 by simply adding 710 to the last number on the list.

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