Question

If hcf (72, 120)= 24 , find the lcm of (72, 120)

Answer 1

HCF × LCM = Product of two numbers
24 × LCM = 72 × 120
24 × LCM = 8640
LCM = 8640/24
LCM = 360

Answer 2

Answer:

The LCM of (72,120) is 360.

Step-by-step explanation:

Given information: HCF (72, 120)= 24

We know that the product of two numbers is equal to the product of their LCM and HCF.

$72\times 120=LCM(72,120)\times HCF(72,120)$

$72\times 120=LCM(72,120)\times 24$

Divide both sides 24.

$\frac{72\times 120}{24}=LCM(72,120)$

$3\times 120=LCM(72,120)$

$360=LCM(72,120)$

Therefore the LCM of (72,120) is 360.