What are the common multiples of 9 and 91?


Common multiples of 9 and 91 are numbers that both 9 and 91 can be divided into evenly with no remainder.

To find the common multiples of 9 and 91, we compare the list of multiples of 9 with the list of multiples of 91 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 91, we multiply 91 by 1, 91 by 2, and so on like this:

91 x 1 = 91
91 x 2 = 182
91 x 3 = 273
91 x 4 = 364
...

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 91?"

819, 1638, 2457, 3276, etc.


Since 819 is the first number they have in common, 819 is the least common multiple of 9 and 91.

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 819 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 91 by simply adding 819 to the last number on the list.

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What are the common multiples of 9 and 92?
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