What are the common multiples of 49 and 83?

Common multiples of 49 and 83 are numbers that both 49 and 83 can be divided into evenly with no remainder.

To find the common multiples of 49 and 83, we compare the list of multiples of 49 with the list of multiples of 83 to see what they have in common.

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
...

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 49 and 83?"

4067, 8134, 12201, 16268, etc.

Since 4067 is the first number they have in common, 4067 is the least common multiple of 49 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 4067 (the least common multiple), so you can continue the green list above with more common multiples of 49 and 83 by simply adding 4067 to the last number on the list.

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What are the common multiples of 49 and 84?
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