What are the common multiples of 9 and 34?

Common multiples of 9 and 34 are numbers that both 9 and 34 can be divided into evenly with no remainder.

To find the common multiples of 9 and 34, we compare the list of multiples of 9 with the list of multiples of 34 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 34, we multiply 34 by 1, 34 by 2, and so on like this:

34 x 1 = 34
34 x 2 = 68
34 x 3 = 102
34 x 4 = 136
...

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 34?"

306, 612, 918, 1224, etc.

Since 306 is the first number they have in common, 306 is the least common multiple of 9 and 34.

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 306 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 34 by simply adding 306 to the last number on the list.

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What are the common multiples of 9 and 35?
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