What are the common multiples of 50 and 56?

Common multiples of 50 and 56 are numbers that both 50 and 56 can be divided into evenly with no remainder.

To find the common multiples of 50 and 56, we compare the list of multiples of 50 with the list of multiples of 56 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 56, we multiply 56 by 1, 56 by 2, and so on like this:

56 x 1 = 56
56 x 2 = 112
56 x 3 = 168
56 x 4 = 224
...

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 56?"

1400, 2800, 4200, 5600, etc.

Since 1400 is the first number they have in common, 1400 is the least common multiple of 50 and 56.

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 1400 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 56 by simply adding 1400 to the last number on the list.

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What are the common multiples of 50 and 57?
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