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
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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