Given that a, b and c are positive integers, and abc=210, what is least possible sum for a+b+c

The least possible sum for a+b+c is 18.

Step-by-step explanation:

As given a, b and c are positive integers and abc = 210

So, let us consider some situation in which the product abc = 20

If a, b and c are 5, 6 and 7 then

abc = 210 & a+b+c = 18

If a, b and c are 3, 7 and 10 then

abc = 210 & a+b+c = 20

If a, b and c are 7, 15 and 2 then

abc = 24 & a+b+c = 24

If a, b and c are 2, 5 and 21 then

abc = 210 & a+b+c = 28

From all of the above situation the least sum is 18 when a, b and c are 5, 6 and 7 respectively.