What are the common multiples of 17 and 44?

Common multiples of 17 and 44 are numbers that both 17 and 44 can be divided into evenly with no remainder.

To find the common multiples of 17 and 44, we compare the list of multiples of 17 with the list of multiples of 44 to see what they have in common.

To create a list of multiples of 17, we multiply 17 by 1, 17 by 2, and so on like this:

17 x 1 = 17
17 x 2 = 34
17 x 3 = 51
17 x 4 = 68
...

Similarly, to create a list of multiples of 44, we multiply 44 by 1, 44 by 2, and so on like this:

44 x 1 = 44
44 x 2 = 88
44 x 3 = 132
44 x 4 = 176
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 17 and 44?"

748, 1496, 2244, 2992, etc.

Since 748 is the first number they have in common, 748 is the least common multiple of 17 and 44.

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 748 (the least common multiple), so you can continue the green list above with more common multiples of 17 and 44 by simply adding 748 to the last number on the list.

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What are the common multiples of 17 and 45?
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