What are the common multiples of 83 and 98?

Common multiples of 83 and 98 are numbers that both 83 and 98 can be divided into evenly with no remainder.

To find the common multiples of 83 and 98, we compare the list of multiples of 83 with the list of multiples of 98 to see what they have in common.

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
...

Similarly, to create a list of multiples of 98, we multiply 98 by 1, 98 by 2, and so on like this:

98 x 1 = 98
98 x 2 = 196
98 x 3 = 294
98 x 4 = 392
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 83 and 98?"

8134, 16268, 24402, 32536, etc.

Since 8134 is the first number they have in common, 8134 is the least common multiple of 83 and 98.

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 8134 (the least common multiple), so you can continue the green list above with more common multiples of 83 and 98 by simply adding 8134 to the last number on the list.

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What are the common multiples of 83 and 99?
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