What are the common multiples of 9 and 68?

Common multiples of 9 and 68 are numbers that both 9 and 68 can be divided into evenly with no remainder.

To find the common multiples of 9 and 68, we compare the list of multiples of 9 with the list of multiples of 68 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 68, we multiply 68 by 1, 68 by 2, and so on like this:

68 x 1 = 68
68 x 2 = 136
68 x 3 = 204
68 x 4 = 272
...

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 68?"

612, 1224, 1836, 2448, etc.

Since 612 is the first number they have in common, 612 is the least common multiple of 9 and 68.

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 612 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 68 by simply adding 612 to the last number on the list.

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What are the common multiples of 9 and 69?
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