Answer
$140$
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 $4$, $14$ and $35$.
First we write the prime factorization of each number:
$4=2\cdot 2$
$14=2\cdot 7$
$35=5\cdot 7$
Then we take each factor the greatest number of times that it appears in any one prime factorization:
$LCM=2\cdot 2\cdot 5\cdot 7 =140$.
The $LCM$ of the given numbers is $140$.
