Answer
The LCM of (2, 3, 7) is 42.
Work Step by Step
The least common multiple ($LCM$) of a set of numbers is the smallest number which is a multiple of each number in the set.
We have to determine the $LCM$ of the numbers $2$, $3$ and $7$.
First we write the prime factorization of each number:
$2=2$
$3=3$
$7=7$
(they are prime numbers)
Then we take each factor the greatest number of times that it appears in any one prime factorization:
$LCM=2\cdot 3\cdot 7 =42$.
The $LCM$ of the given numbers is $42$.
