SSC CPO 2020 PYQ — Question 133

The correct answer is Option 2 i.e. 377.

HCF (Highest Common Factor): This is the greatest number that divides each number without leaving a remainder.

LCM (Lowest Common Multiple): This is the smallest number that is a multiple of each number.

HCF of the two numbers = 29

Since HCF will be always a factor of LCM, 23 is a factor of the LCM.

Given that the other two factors in the LCM are 15 and 13

Now, According to the question

Hence, factors of the LCM are 29, 13, 15

So, numbers can be taken as (29 × 13) and (29 × 15)

Hence, smaller number = (29 × 13) = 377