Question

What is the LCM for 27,10,12 and 8

Answer 1

1080

Explanation:

Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.

Division Table

2 8 10 12 27

2 4 5 6 27

2 2 5 3 27

3 1 5 3 27

3 1 5 1 9

3 1 5 1 3

5 1 5 1 1

1 1 1 1

Bring down any numbers that are not evenly divisible by the prime number.

When the last row of results is all 1's you are done.

Find the product of the prime numbers in the first column to get the LCM:

LCM = 2 x 2 x 2 x 3 x 3 x 3 x 5

LCM = 1080

Therefore,

LCM(8, 10, 12, 27) = 1080

Answer 2

1080

Explanation:

First, you need to find the prime factorization for each one:

`27=3^3 \\\\10=2\cdot 5 \\\\12=2^2\cdot3 \\\\8=2^3`

The LCM, then, would be
`2^3\cdot 3^3\cdot 5=1080`. Hope this helps!