The least common multiple of a number "n" and 6 is 42. What are all of teh possible whole-number values for "n"?

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The LCM of a pair of numbers is the lowest multiple that either factor "number" can go into evenly.

Therefore, what are factors of 42?

`1 *42 ; 2 *21; 3 *14; 6 *7`

Since one of the values is 6, the other number will need to be 7.  ...

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The LCM of a pair of numbers is the lowest multiple that either factor "number" can go into evenly.

Therefore, what are factors of 42?

`1 *42 ; 2 *21; 3 *14; 6 *7`

Since one of the values is 6, the other number will need to be 7.   That means that 7 and all mutiples of 7 that are factors of 42 will have an LCM of 42 when paired with 6.

So, n = 7, 14, 21, 42

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