What are the common multiples of 9 and 78?

Common multiples of 9 and 78 are numbers that both 9 and 78 can be divided into evenly with no remainder.

To find the common multiples of 9 and 78, we compare the list of multiples of 9 with the list of multiples of 78 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 78, we multiply 78 by 1, 78 by 2, and so on like this:

78 x 1 = 78
78 x 2 = 156
78 x 3 = 234
78 x 4 = 312
...

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 78?"

234, 468, 702, 936, etc.

Since 234 is the first number they have in common, 234 is the least common multiple of 9 and 78.

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 234 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 78 by simply adding 234 to the last number on the list.

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