What are the common multiples of 41 and 49?

Common multiples of 41 and 49 are numbers that both 41 and 49 can be divided into evenly with no remainder.

To find the common multiples of 41 and 49, we compare the list of multiples of 41 with the list of multiples of 49 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 49, we multiply 49 by 1, 49 by 2, and so on like this:

49 x 1 = 49
49 x 2 = 98
49 x 3 = 147
49 x 4 = 196
...

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 49?"

2009, 4018, 6027, 8036, etc.

Since 2009 is the first number they have in common, 2009 is the least common multiple of 41 and 49.

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 2009 (the least common multiple), so you can continue the green list above with more common multiples of 41 and 49 by simply adding 2009 to the last number on the list.

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What are the common multiples of 41 and 50?
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