Question

if xy = 180 and HCF (x,y)=3 , then find the lcm of (x,y)

Answer 1

Given :-

• If xy = 180 and HCF (x,y)=3

To find :-

• LCM of (x, y)

Solution :-

• Product of two numbers (xy) = 180

• HCF of two numbers (x, y) = 3

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

Where " a " is first number and " b " is second number.

According to the given condition

→ LCM × HCF = Product of two numbers

→ LCM × 3 = 180

→ LCM = 180/3

→ LCM = 60

Hence,

• LCM of (x, y) is 60

Verification :-

• LCM × HCF = Product of two numbers

→ 60 × 3 = 180

→ 180 = 180

• Therefore verified

Answer 2

Answer :-

• 60

Given :-

• xy = 180 and HCF (x, y) = 3

To Find :-

• LCM (x, y)

Solution :-

Here,

• Product of two numbers = 180
• HCF of two numbers = 3

As we know that

Product of two numbers = LCM × HCF

Put the values in the formula

According to question :-

LCM × 3 = 180

→ LCM = 180/3

→ LCM = 60

Verification :-

LCM × HCF = product of two numbers

→ 60 × 3 = 180

→ 180 = 180

Hence, verified.