What are the common multiples of 9 and 40?

Common multiples of 9 and 40 are numbers that both 9 and 40 can be divided into evenly with no remainder.

To find the common multiples of 9 and 40, we compare the list of multiples of 9 with the list of multiples of 40 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 40, we multiply 40 by 1, 40 by 2, and so on like this:

40 x 1 = 40
40 x 2 = 80
40 x 3 = 120
40 x 4 = 160
...

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 40?"

360, 720, 1080, 1440, etc.

Since 360 is the first number they have in common, 360 is the least common multiple of 9 and 40.

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 360 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 40 by simply adding 360 to the last number on the list.

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What are the common multiples of 9 and 41?
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