Question : Which is the smallest natural number that is exactly divisible by each of 96, 108, and 144?
Option 1: 864
Option 2: 2592
Option 3: 1296
Option 4: 1728
Answer (1)
20th Jan, 2024
Correct Answer: 864
Solution :
Given numbers,
96, 108 and 144
96 = 2 × 2 × 2 × 2 × 2 × 3
108 = 2 × 2 × 3 × 3 × 3
144 = 2 × 2 × 2 × 2 × 3 × 3
⇒ Least common multiple = 2
4
× 3
3
= 432
The smallest multiple of 432 from the given options = 864
Hence, the correct answer is 864.
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