# The Ratio of Two Numbers is 3:4 and Their H.C.F. is 4. Their L.C.M. is:

The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is:

- 12
- 16
- 24
- 48

**Answer: (4) 48
Explanation:-**

Let be the two numbers are 3X and 4X

Then, X = 4 (Given in the question HCF = 4)

Therefore , numbers are 3 x 4 = 12 and 4 x 4 = 16

The LCM of 12 and 16

12 = 2 x 2 x 3

16 = 2 x 2 x 2 x 2

The LCM of 12 and 16 = 2 x 2 x 2 x 2 x 3

= 48

Hence, the answer is (4) 48.