What are the common multiples of 45 and 34?

Common multiples of 45 and 34 are numbers that both 45 and 34 can be divided into evenly with no remainder.

To find the common multiples of 45 and 34, we compare the list of multiples of 45 with the list of multiples of 34 to see what they have in common.

To create a list of multiples of 45, we multiply 45 by 1, 45 by 2, and so on like this:

45 x 1 = 45
45 x 2 = 90
45 x 3 = 135
45 x 4 = 180
...

Similarly, to create a list of multiples of 34, we multiply 34 by 1, 34 by 2, and so on like this:

34 x 1 = 34
34 x 2 = 68
34 x 3 = 102
34 x 4 = 136
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 45 and 34?"

1530, 3060, 4590, 6120, etc.

Since 1530 is the first number they have in common, 1530 is the least common multiple of 45 and 34.

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 1530 (the least common multiple), so you can continue the green list above with more common multiples of 45 and 34 by simply adding 1530 to the last number on the list.

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What are the common multiples of 45 and 35?
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