Question

What is the LCM of 6, 8, and 5?

Answer 1

The LCM is `120`.

Explanation:

LCM means least common multiple.

We can use prime factorization of each given number to determine the LCM.

`6:` `2xxcolor(red)3`

`8:` `color(green)2xxcolor(green)2xxcolor(green)2`

`5:` `color(blue)5`

Multiply each factor the maximum times it occurs in the three numbers.

`"LCM"=color(red)3xxcolor(green)2xxcolor(green)2xxcolor(green)2xxcolor(blue)5=120`