Question

What is the lcm of 9,6,12,3,4​

Answer 1

Answer:

36

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 3 shows:

3 is prime  =>  31

Prime Factorization of 4 is:

2 x 2  =>  22

Prime Factorization of 6 is:

2 x 3  =>  21 x 31

Prime Factorization of 9 is:

3 x 3  =>  32

Prime Factorization of 12 is:

2 x 2 x 3  =>  22 x 31

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, 3, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 = 36

In exponential form:

LCM = 22 x 32 = 36

LCM = 36

Therefore,

LCM(3, 4, 6, 9, 12) = 36

Answer 2

the LCM of 9,6, 12,3,4

Are 36