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

The correct answer is Option (3) → 24

Numbers in the ratio 2 : 3 with HCF 4 are \(2\times4\) and \(3\times4\), because the HCF is the common factor taken out of both, and 2 and 3 have no further common factor.

• The numbers: \(2\times4=8\) and \(3\times4=12\)

• LCM \(=4\times2\times3=24\)