What are the common multiples of 50 and 89?

Common multiples of 50 and 89 are numbers that both 50 and 89 can be divided into evenly with no remainder.

To find the common multiples of 50 and 89, we compare the list of multiples of 50 with the list of multiples of 89 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 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 50 and 89?"

4450, 8900, 13350, 17800, etc.

Since 4450 is the first number they have in common, 4450 is the least common multiple of 50 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 4450 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 89 by simply adding 4450 to the last number on the list.

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What are the common multiples of 50 and 90?
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