What are the common multiples of 87 and 70?


Common multiples of 87 and 70 are numbers that both 87 and 70 can be divided into evenly with no remainder.

To find the common multiples of 87 and 70, we compare the list of multiples of 87 with the list of multiples of 70 to see what they have in common.

To create a list of multiples of 87, we multiply 87 by 1, 87 by 2, and so on like this:

87 x 1 = 87
87 x 2 = 174
87 x 3 = 261
87 x 4 = 348
...

Similarly, to create a list of multiples of 70, we multiply 70 by 1, 70 by 2, and so on like this:

70 x 1 = 70
70 x 2 = 140
70 x 3 = 210
70 x 4 = 280
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 87 and 70?"

6090, 12180, 18270, 24360, etc.


Since 6090 is the first number they have in common, 6090 is the least common multiple of 87 and 70.

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 6090 (the least common multiple), so you can continue the green list above with more common multiples of 87 and 70 by simply adding 6090 to the last number on the list.

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