What are the common multiples of 50 and 64?

Common multiples of 50 and 64 are numbers that both 50 and 64 can be divided into evenly with no remainder.

To find the common multiples of 50 and 64, we compare the list of multiples of 50 with the list of multiples of 64 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 64, we multiply 64 by 1, 64 by 2, and so on like this:

64 x 1 = 64
64 x 2 = 128
64 x 3 = 192
64 x 4 = 256
...

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 64?"

1600, 3200, 4800, 6400, etc.

Since 1600 is the first number they have in common, 1600 is the least common multiple of 50 and 64.

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 1600 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 64 by simply adding 1600 to the last number on the list.

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What are the common multiples of 50 and 65?
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