Question

If HCF of two numbers is 12 and their product is 360 then their LCM is

Answer 1

Answer :

• LCM is 30

Given :

• If HCF of two numbers is 12 and their product is 360

To find :

• LCM

Solution :

• Let the LCM be x

Given,

• HCF of two numbers is 12
• Product of two numbers is 360

As we know that ,

• LCM × HCF = product of two numbers.

• HCF is 12
• Product of two numbers is 360
• LCM is x

Substituting the value :

↬ LCM × HCF = Product of two numbers

↬ x × 12 = 360

↬ x = 360/12

↬ x = 30

Hence , LCM is 30.

Verification :

↬ LCM × HCF = Product of two numbers

↬ 30 × 12 = 360

↬ 360 = 360

Hence , Verified