Question

The L.C.M of 27 and 12 is _________.

• A. 96
• B. 324
• C. 108
• D. 36

Answer 1

The correct option is C

108

Using the prime factor method to find L.C.M:

Express the given numbers as a product of prime factors and then in index form.

$27=3\times 3\times 3$
$=3^3$

$12=2\times 2\times 3$
$=2^2\times 3$

L.C.M = Product of all prime factors with highest power of each factor. Since, the prime factors with highest power are $3^3$ and $2^2$ respectively,

Required L.C.M = $3^3$ $\times$ $2^2$ = 108