What are the common multiples of 9 and 39?

Common multiples of 9 and 39 are numbers that both 9 and 39 can be divided into evenly with no remainder.

To find the common multiples of 9 and 39, we compare the list of multiples of 9 with the list of multiples of 39 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, to create a list of multiples of 39, we multiply 39 by 1, 39 by 2, and so on like this:

39 x 1 = 39
39 x 2 = 78
39 x 3 = 117
39 x 4 = 156
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 39?"

117, 234, 351, 468, etc.

Since 117 is the first number they have in common, 117 is the least common multiple of 9 and 39.

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 117 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 39 by simply adding 117 to the last number on the list.

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What are the common multiples of 9 and 40?
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