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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


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 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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