Question

using prime factor methord find out lcm of 12 15 10 75 full steps no ❌❌ spam ❌❌​

Answer 1

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 15 is:

3 x 5 = 31 x 51

Prime factorization of 75 is:

3 x 5 x 5 = 31 x 52

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

2, 2, 3, 5, 5

Multiply to find the LCM

LCM = 2 x 2 x 3 x 5 x 5 = 300

In exponential form:

LCM = 22 x 31 x 52 = 300

LCM = 300