Question

What will be the LCM of 8, 24, 36 and 54?

• A. 216
• B. 236
• C. 256
• D. None of these

Answer 1

The correct option is A 216

The prime factor of $8=2\times 2\times 2=2^3$
The prime factor of $24=2\times 2\times 2\times 3=2^3\times 3$
The prime factor of $36=2\times 2\times 3\times 3=2^2\times 3^2$
The prime factor of $54=2\times 3\times 3\times 3=2\times 3^3$
L.C.M = Product of each prime factor with highest index used.
$=2^3\times 3^3=216$