What are the common multiples of 50 and 59?

Common multiples of 50 and 59 are numbers that both 50 and 59 can be divided into evenly with no remainder.

To find the common multiples of 50 and 59, we compare the list of multiples of 50 with the list of multiples of 59 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 59, we multiply 59 by 1, 59 by 2, and so on like this:

59 x 1 = 59
59 x 2 = 118
59 x 3 = 177
59 x 4 = 236
...

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 59?"

2950, 5900, 8850, 11800, etc.

Since 2950 is the first number they have in common, 2950 is the least common multiple of 50 and 59.

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 2950 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 59 by simply adding 2950 to the last number on the list.

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