The ratio of two numbers is 2 : 3 and their HCF is 4. Their LCM is :

First Number : Second Number = 2:3

First Number = 2k

Second Number = 3k

If HCF is 4, thus minimum value of First Number = 4*2 = 8

and minimum value of Second Number = 4*3 = 12

HCF*LCM = First Number*Second Number

4*LCM = 8*12

LCM = 24

The correct answer is Option (3) → 24