Answer
108
Work Step by Step
First, we express each number as a product of prime factors:
$12=2\times2\times3$
$18=2\times3\times3$
$27=3\times3\times3$
The least common multiple includes each different prime factor as many times as the most times it appears in one of the factorizations.
The most times 2 appears is twice.
The most times 3 appears is 3 times.
LCM$=2\times2\times3\times3\times3=108$