Question

21. Find the HCF and LCM of 10224 and 1608
using prime factorisation method.​

Answer 1

Answer:

Hi!

Here is the answer to your question.

Fundamental theorem of arithmetic states that every composite number can be expressed as the product of prime, and this factorization is unique.

Prime factorization of 1608 = 2 × 2 × 2 × 3 × 67

Prime factorization of 10224 = 2 × 2 × 2 × 2 × 3 × 3 × 71

HCF of 1608 and 10224 = 2 × 2 × 2 × 3 = 24

LCM of 1608 and 10224 = 2 × 2 × 2 × 2 × 3 × 3 × 67 × 71 = 685008