What are the common multiples of 19 and 25?

Common multiples of 19 and 25 are numbers that both 19 and 25 can be divided into evenly with no remainder.

To find the common multiples of 19 and 25, we compare the list of multiples of 19 with the list of multiples of 25 to see what they have in common.

To create a list of multiples of 19, we multiply 19 by 1, 19 by 2, and so on like this:

19 x 1 = 19
19 x 2 = 38
19 x 3 = 57
19 x 4 = 76
...

Similarly, to create a list of multiples of 25, we multiply 25 by 1, 25 by 2, and so on like this:

25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 19 and 25?"

475, 950, 1425, 1900, etc.

Since 475 is the first number they have in common, 475 is the least common multiple of 19 and 25.

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 475 (the least common multiple), so you can continue the green list above with more common multiples of 19 and 25 by simply adding 475 to the last number on the list.

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