What are the common multiples of 23 and 50?

Common multiples of 23 and 50 are numbers that both 23 and 50 can be divided into evenly with no remainder.

To find the common multiples of 23 and 50, we compare the list of multiples of 23 with the list of multiples of 50 to see what they have in common.

To create a list of multiples of 23, we multiply 23 by 1, 23 by 2, and so on like this:

23 x 1 = 23
23 x 2 = 46
23 x 3 = 69
23 x 4 = 92
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 23 and 50?"

1150, 2300, 3450, 4600, etc.

Since 1150 is the first number they have in common, 1150 is the least common multiple of 23 and 50.

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 1150 (the least common multiple), so you can continue the green list above with more common multiples of 23 and 50 by simply adding 1150 to the last number on the list.

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What are the common multiples of 23 and 51?
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