Question

LCM of
LOS , 150, 120.​

Answer 1

Answer:

Find the prime factors of both numbers first.

Then take the highest power of prime factors of both numbers.

Multiply the above prime factors together; that gives LCM

E.g.1

Find the LCM of 150 and 120.

150 = 2 X 3 X 5 X 5 = 2 X 3 X 52

120 = 2 X 2 X 2 X 3 X 5 = 23 X 3 X 5

The product of highest power of prime factors = 23 X 3 X 52 = 600

So, LCM of 150 and 120 is 600.

E.g.2

Find the LCM of 150 and 60.

150 = 2 X 3 X 5 X 5 = 2 X 3 X 52

60 = 2 X 2 X 3 X 5 = 22 X 3 X 5

The product of highest power of prime factors = 22 X 3 X 52 = 300

So, LCM of 150 and 60 is 300.