What are the common multiples of 79 and 9?


Common multiples of 79 and 9 are numbers that both 79 and 9 can be divided into evenly with no remainder.

To find the common multiples of 79 and 9, we compare the list of multiples of 79 with the list of multiples of 9 to see what they have in common.

To create a list of multiples of 79, we multiply 79 by 1, 79 by 2, and so on like this:

79 x 1 = 79
79 x 2 = 158
79 x 3 = 237
79 x 4 = 316
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 79 and 9?"

711, 1422, 2133, 2844, etc.


Since 711 is the first number they have in common, 711 is the least common multiple of 79 and 9.

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 711 (the least common multiple), so you can continue the green list above with more common multiples of 79 and 9 by simply adding 711 to the last number on the list.

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