The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7
What is least common multiple?
The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
It can be calculated for two or more numbers as well.
For example, LCM of 10, 2 and 7 is 70.
According to the given question:
Now n must be divisible by every positive integer less than 7, or
1, 2, 3, 4, 5, and 6.
Each number that is divisible by each of these is a multiple of their least common multiple.
LCM (1,2,3,4,5,6) = 60
So each number divisible by these is a multiple of 60.
The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.
Therefore, the sum of the digits of n is 1+2+0 = 3
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