Question

what is the lcm of 75 and 120​

Answer 1

Answer:

lcm (75; 120) = 600: least common multiple, calculated. The numbers have common prime factors.

Step-by-step explanation:

not confirm about this answer

Answer 2

Answer:

600.

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 75 is:

3 x 5 x 5 => 3¹ x 5²

Prime Factorization of 120 is:

2 x 2 x 2 x 3 x 5 => 2³ x 3¹ 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, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 5 = 600

In exponential form:

LCM = 2³ x 3¹ x 5² = 600

LCM = 600

Therefore,

LCM(75, 120) = 600