What are the common multiples of 9 and 76?

Common multiples of 9 and 76 are numbers that both 9 and 76 can be divided into evenly with no remainder.

To find the common multiples of 9 and 76, we compare the list of multiples of 9 with the list of multiples of 76 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 76, we multiply 76 by 1, 76 by 2, and so on like this:

76 x 1 = 76
76 x 2 = 152
76 x 3 = 228
76 x 4 = 304
...

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 76?"

684, 1368, 2052, 2736, etc.

Since 684 is the first number they have in common, 684 is the least common multiple of 9 and 76.

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 684 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 76 by simply adding 684 to the last number on the list.

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What are the common multiples of 9 and 77?
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