What are the common multiples of 41 and 99?

Common multiples of 41 and 99 are numbers that both 41 and 99 can be divided into evenly with no remainder.

To find the common multiples of 41 and 99, we compare the list of multiples of 41 with the list of multiples of 99 to see what they have in common.

To create a list of multiples of 41, we multiply 41 by 1, 41 by 2, and so on like this:

41 x 1 = 41
41 x 2 = 82
41 x 3 = 123
41 x 4 = 164
...

Similarly, to create a list of multiples of 99, we multiply 99 by 1, 99 by 2, and so on like this:

99 x 1 = 99
99 x 2 = 198
99 x 3 = 297
99 x 4 = 396
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 41 and 99?"

4059, 8118, 12177, 16236, etc.

Since 4059 is the first number they have in common, 4059 is the least common multiple of 41 and 99.

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 4059 (the least common multiple), so you can continue the green list above with more common multiples of 41 and 99 by simply adding 4059 to the last number on the list.

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