Question

lcm of 460,750 step to step​

Answer 1

Step-by-step explanation:

Answer:

LCM = 2250

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 450 is:

2 x 3 x 3 x 5 x 5 => 21 x 32 x 52

Prime Factorization of 750 is:

2 x 3 x 5 x 5 x 5 => 21 x 31 x 53

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, 3, 3, 5, 5, 5

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 3 x 5 x 5 x 5 = 2250

In exponential form:

LCM = 21 x 32 x 53 = 2250

LCM = 2250

Therefore,

LCM(450, 750) = 2250