What are the common multiples of 9 and 83?

Common multiples of 9 and 83 are numbers that both 9 and 83 can be divided into evenly with no remainder.

To find the common multiples of 9 and 83, we compare the list of multiples of 9 with the list of multiples of 83 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 83, we multiply 83 by 1, 83 by 2, and so on like this:

83 x 1 = 83
83 x 2 = 166
83 x 3 = 249
83 x 4 = 332
...

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 83?"

747, 1494, 2241, 2988, etc.

Since 747 is the first number they have in common, 747 is the least common multiple of 9 and 83.

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 747 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 83 by simply adding 747 to the last number on the list.

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