What are the common multiples of 9 and 35?

Common multiples of 9 and 35 are numbers that both 9 and 35 can be divided into evenly with no remainder.

To find the common multiples of 9 and 35, we compare the list of multiples of 9 with the list of multiples of 35 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 35, we multiply 35 by 1, 35 by 2, and so on like this:

35 x 1 = 35
35 x 2 = 70
35 x 3 = 105
35 x 4 = 140
...

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 35?"

315, 630, 945, 1260, etc.

Since 315 is the first number they have in common, 315 is the least common multiple of 9 and 35.

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 315 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 35 by simply adding 315 to the last number on the list.

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What are the common multiples of 9 and 36?
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