Correct Answer - Option 3 : 72
Given
Ratio of two numbers is 2 ∶ 3
HCF =12
Formula used
LCM × HCF = Product of two numbers
LCM = Product of two numbers/HCF
Calculation
Let the numbers be 2x and 3x
⇒ Numbers = 24 and 36
⇒ LCM = (24 × 36)/ 12
⇒ LCM =72
∴ The LCM of the numbers is 72.
