Question : What is that least perfect square which is exactly divisible by each of 14, 84, and 28?
Option 1: 7056
Option 2: 3528
Option 3: 1764
Option 4: 441
Answer (1)
16th Jan, 2024
Correct Answer: 1764
Solution :
Factors of 14 = 2 × 7
Factors of 84 = 2 × 2 × 3 × 7
Factors of 28 = 2 × 2 × 7
LCM of 14, 84, and 28 = 2 × 2 × 3 × 7 = 84
To make it a perfect square, one 3, and one 7 more are required.
So, required number = 84 × 3 × 7 = 1764
Hence, the correct answer is 1764.
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