What are the common multiples of 35 and 54?

Common multiples of 35 and 54 are numbers that both 35 and 54 can be divided into evenly with no remainder.

To find the common multiples of 35 and 54, we compare the list of multiples of 35 with the list of multiples of 54 to see what they have in common.

To create a list of multiples of 35, we multiply 35 by 1, 35 by 2, and so on like this:

35 x 1 = 35
35 x 2 = 70
35 x 3 = 105
35 x 4 = 140
...

Similarly, to create a list of multiples of 54, we multiply 54 by 1, 54 by 2, and so on like this:

54 x 1 = 54
54 x 2 = 108
54 x 3 = 162
54 x 4 = 216
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 35 and 54?"

1890, 3780, 5670, 7560, etc.

Since 1890 is the first number they have in common, 1890 is the least common multiple of 35 and 54.

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 1890 (the least common multiple), so you can continue the green list above with more common multiples of 35 and 54 by simply adding 1890 to the last number on the list.

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What are the common multiples of 35 and 55?
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