What are the common multiples of 9 and 85?

Common multiples of 9 and 85 are numbers that both 9 and 85 can be divided into evenly with no remainder.

To find the common multiples of 9 and 85, we compare the list of multiples of 9 with the list of multiples of 85 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 85, we multiply 85 by 1, 85 by 2, and so on like this:

85 x 1 = 85
85 x 2 = 170
85 x 3 = 255
85 x 4 = 340
...

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 85?"

765, 1530, 2295, 3060, etc.

Since 765 is the first number they have in common, 765 is the least common multiple of 9 and 85.

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 765 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 85 by simply adding 765 to the last number on the list.

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What are the common multiples of 9 and 86?
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