What are the common multiples of 9 and 45?

Common multiples of 9 and 45 are numbers that both 9 and 45 can be divided into evenly with no remainder.

To find the common multiples of 9 and 45, we compare the list of multiples of 9 with the list of multiples of 45 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 45, we multiply 45 by 1, 45 by 2, and so on like this:

45 x 1 = 45
45 x 2 = 90
45 x 3 = 135
45 x 4 = 180
...

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 45?"

45, 90, 135, 180, etc.

Since 45 is the first number they have in common, 45 is the least common multiple of 9 and 45.

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 45 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 45 by simply adding 45 to the last number on the list.

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What are the common multiples of 9 and 46?
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