What are the common multiples of 50 and 65?

Common multiples of 50 and 65 are numbers that both 50 and 65 can be divided into evenly with no remainder.

To find the common multiples of 50 and 65, we compare the list of multiples of 50 with the list of multiples of 65 to see what they have in common.

To create a list of multiples of 50, we multiply 50 by 1, 50 by 2, and so on like this:

50 x 1 = 50
50 x 2 = 100
50 x 3 = 150
50 x 4 = 200
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 50 and 65?"

650, 1300, 1950, 2600, etc.

Since 650 is the first number they have in common, 650 is the least common multiple of 50 and 65.

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 650 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 65 by simply adding 650 to the last number on the list.

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What are the common multiples of 50 and 66?
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