**Q) **Using prime factorisation, find HCF and LCM of 96 and 120.

**Ans: **

By prime factorisation, we get:

96 = 2^{5} x 3

and 120 = 2^{3} x 3 x 5

∴ LCM = 2^{5} x 3 x 5 = 480

And HCF = 2^{3} x3 = 24

**Therefore, LCM of given numbers is 480 and HCF is 24.**