Question

The LCM of 24, 36 and 60 in terms of their prime factors is :

• A. 22 × 3 × 5
• B. 23 × 32
• C. 23 × 32× 5
• D. 23 × 33× 5

Answer 1

Answer: (C)

23 × 32× 5

Answer 2

To find the LCM of 24, 36, and 60:
Perform prime factorization:
$24 = 2^3 \times 3, \quad 36 = 2^2 \times 3^2, \quad 60 = 2^2 \times 3 \times 5$
Take the highest powers of all prime factors:
$2^3, \quad 3^2, \quad 5$
Multiply these together to get the LCM:
$LCM = 2^3 \times 3^2 \times 5 = 360$