What are the common multiples of 46 and 21?

Common multiples of 46 and 21 are numbers that both 46 and 21 can be divided into evenly with no remainder.

To find the common multiples of 46 and 21, we compare the list of multiples of 46 with the list of multiples of 21 to see what they have in common.

To create a list of multiples of 46, we multiply 46 by 1, 46 by 2, and so on like this:

46 x 1 = 46
46 x 2 = 92
46 x 3 = 138
46 x 4 = 184
...

Similarly, to create a list of multiples of 21, we multiply 21 by 1, 21 by 2, and so on like this:

21 x 1 = 21
21 x 2 = 42
21 x 3 = 63
21 x 4 = 84
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 46 and 21?"

966, 1932, 2898, 3864, etc.

Since 966 is the first number they have in common, 966 is the least common multiple of 46 and 21.

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 966 (the least common multiple), so you can continue the green list above with more common multiples of 46 and 21 by simply adding 966 to the last number on the list.

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What are the common multiples of 46 and 22?
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