Question

lcm of 8, 12 ,10, 20​

Answer 1

Answer:

LCM = 120

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 8 is:

2 x 2 x 2 => 23

Prime Factorization of 10 is:

2 x 5 => 21 x 51

Prime Factorization of 12 is:

2 x 2 x 3 => 22 x 31

Prime Factorization of 20 is:

2 x 2 x 5 => 22 x 51

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 = 120

In exponential form:

LCM = 23 x 31 x 51 = 120

LCM = 120

Therefore,

LCM(8, 10, 12, 20) = 120

Answer 2

Answer:

120 is the answer

Step-by-step explanation:

15 * 8 = 120 , 12 * 10 = 120 , 10*12 = 120 and 20*6 = 120