What are the common multiples of 9 and 38?

Common multiples of 9 and 38 are numbers that both 9 and 38 can be divided into evenly with no remainder.

To find the common multiples of 9 and 38, we compare the list of multiples of 9 with the list of multiples of 38 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 38, we multiply 38 by 1, 38 by 2, and so on like this:

38 x 1 = 38
38 x 2 = 76
38 x 3 = 114
38 x 4 = 152
...

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 38?"

342, 684, 1026, 1368, etc.

Since 342 is the first number they have in common, 342 is the least common multiple of 9 and 38.

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 342 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 38 by simply adding 342 to the last number on the list.

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What are the common multiples of 9 and 39?
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