What are the common multiples of 17 and 1?

Common multiples of 17 and 1 are numbers that both 17 and 1 can be divided into evenly with no remainder.

To find the common multiples of 17 and 1, we compare the list of multiples of 17 with the list of multiples of 1 to see what they have in common.

To create a list of multiples of 17, we multiply 17 by 1, 17 by 2, and so on like this:

17 x 1 = 17
17 x 2 = 34
17 x 3 = 51
17 x 4 = 68
...

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

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
1 x 4 = 4
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 17 and 1?"

17, 34, 51, 68, etc.

Since 17 is the first number they have in common, 17 is the least common multiple of 17 and 1.

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 17 (the least common multiple), so you can continue the green list above with more common multiples of 17 and 1 by simply adding 17 to the last number on the list.

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