Question

Find the HCF and LCM of 144, 180 and 192 by prime factorisation method.

Answer 1

To find the HCF, we list the common prime factors with their smallest exponents.
⇒ HCF = 2² × 3¹ = 4 × 3 = 12

To find the LCM, we list all prime factors with their greatest exponents.

⇒ LCM = 2⁶ × 3² × 5¹ = 64 × 9 × 5 = 2880