Question

What is the least positive integer that is divisible by each of $1,3,5$ and $7$?

Answer 1

Finding the least positive integer that is divisible by each of $1,3,5$ and $7$:

Least common multiple of $1,3,5$ and $7$ is the least positive integer that is divisible by each of $1,3,5$ and $7$
Since the numbers are co-prime, so the least common multiple of $1,3,5$ and $7$$=1\times 3\times 5\times 7$
$=105$

Hence, the answer is $105$.