Which is the smallest natural number that is exactly divisible by each of 96, 108 and 144?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 864.
Given that
The smallest natural number that is exactly divisible by each of 96, 108 and 144
According to the question
LCM of (96, 108, 144) is the smallest natural number
So,
96 = 25 × 3
108 = 22 × 33
144 = 24 × 32
LCM = 25 × 33 = 32 × 27 = 864