What are the common multiples of 59 and 3?

Common multiples of 59 and 3 are numbers that both 59 and 3 can be divided into evenly with no remainder.

To find the common multiples of 59 and 3, we compare the list of multiples of 59 with the list of multiples of 3 to see what they have in common.

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
...

Similarly, to create a list of multiples of 3, we multiply 3 by 1, 3 by 2, and so on like this:

3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 59 and 3?"

177, 354, 531, 708, etc.

Since 177 is the first number they have in common, 177 is the least common multiple of 59 and 3.

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 177 (the least common multiple), so you can continue the green list above with more common multiples of 59 and 3 by simply adding 177 to the last number on the list.

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