What are the common multiples of 65 and 89?

Common multiples of 65 and 89 are numbers that both 65 and 89 can be divided into evenly with no remainder.

To find the common multiples of 65 and 89, we compare the list of multiples of 65 with the list of multiples of 89 to see what they have in common.

To create a list of multiples of 65, we multiply 65 by 1, 65 by 2, and so on like this:

65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...

Similarly, to create a list of multiples of 89, we multiply 89 by 1, 89 by 2, and so on like this:

89 x 1 = 89
89 x 2 = 178
89 x 3 = 267
89 x 4 = 356
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 65 and 89?"

5785, 11570, 17355, 23140, etc.

Since 5785 is the first number they have in common, 5785 is the least common multiple of 65 and 89.

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 5785 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 89 by simply adding 5785 to the last number on the list.

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What are the common multiples of 65 and 90?
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