What are the common multiples of 9 and 43?

Common multiples of 9 and 43 are numbers that both 9 and 43 can be divided into evenly with no remainder.

To find the common multiples of 9 and 43, we compare the list of multiples of 9 with the list of multiples of 43 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 43, we multiply 43 by 1, 43 by 2, and so on like this:

43 x 1 = 43
43 x 2 = 86
43 x 3 = 129
43 x 4 = 172
...

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 43?"

387, 774, 1161, 1548, etc.

Since 387 is the first number they have in common, 387 is the least common multiple of 9 and 43.

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 387 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 43 by simply adding 387 to the last number on the list.

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What are the common multiples of 9 and 44?
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