What is the LCM of 27 45 81?

Answer 1

To find the LCM of numbers you first need to break them down into their prime factors. In this case:

27=3x3x3

45=5x3x3

81=3x3x3x3

The next step is to disregard any duplicates when there are common prime factors. All numbers use two 3s so we can disregard 4 of them. Two numbers use an additional 3 so we can disregard 1 of them. This leaves us with:

5,3,3,3,3

Find the product of all of these numbers:

5x3x3x3=405

And that gives us the LCM. So the LCM of 27, 45, and 81 is 405.