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Question : The least number which is exactly divisible by 5, 6, 8, 10 and 12 is:

Option 1: 180

Option 2: 240

Option 3: 120

Option 4: 150


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 120


Solution : The least number which is exactly divisible by 5, 6, 8, 10, and 12 is their least common multiple (LCM).
Factors of 5 = 5 × 1
Factors of 6 = 2 × 3
Factors of 8 = 2 × 2 × 2
Factors of 10 = 2 × 5
Factors of 12 = 2 × 2 × 3
LCM of 5, 6, 8, 10, and 12 = 2 3 × 3 × 5 = 8 × 3 × 5 = 120
Hence, the correct answer is 120.

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