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

The Correct Option is C

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:
\[LCM = 2^3 \times 3^2 \times 5 = 360\]