What are the common multiples of 9 and 65?

Common multiples of 9 and 65 are numbers that both 9 and 65 can be divided into evenly with no remainder.

To find the common multiples of 9 and 65, we compare the list of multiples of 9 with the list of multiples of 65 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 65, we multiply 65 by 1, 65 by 2, and so on like this:

65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...

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 65?"

585, 1170, 1755, 2340, etc.

Since 585 is the first number they have in common, 585 is the least common multiple of 9 and 65.

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 585 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 65 by simply adding 585 to the last number on the list.

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What are the common multiples of 9 and 66?
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