What is the LCM of 27 10 12 and 8?

Answer 1

Well, because it has to be a multiple of 10, you know that it has to end with a 10. The 27 is the biggest number and will be what we focus on. To get the 27 into a multiple of 10, we have to multiply it by 10.

10 x 27 = 270.

270 is not divisible by 12 or 8, so we continue.

Keeping in mind that the number has to be a multiple of 10 and 27, we can only add intervals of 270.

270+270 = 540.

540 is divisible by 27, 10 and 12, but not by 8. So lets add another 270.

540+270 = 810

810 is only divisible by 10 and 27, much like 270, so lets add another 270.

810+270 = 1080

1080 is divisible by 27, 10, 12 and 8 and is the lowest common multiple.