Question

The H.C.F of two numbers is 15 and the product of the two numbers is 2925. What is the L.C.M of these numbers?

Answer 1

Answer:

LCM = Product of two numbers/ HCF

==>  2925/15

==>  195

Answer 2

Given :-

• The H.C.F of two numbers is 15 and the product of the two numbers is 2925.

To find :-

• LCM of two numbers

Solution :-

• Product of two numbers = 2925

• HCF of two numbers = 15

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

where " a " represent first number and " b " represent second number

→ LCM × 15 = 2925

→ LCM = 2925/15

→ LCM = 195

Hence,

• LCM of two numbers is 195

Verification :-

• LCM × HCF = Product of two numbers

LHS = LCM × HCF

→ 195 × 15

→ 2925 = RHS

• Therefore, LHS = RHS verified