Question : How many numbers between 300 and 700 are divisible by 5, 6, and 8?
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 20
Correct Answer: 3
Solution :
Least Common Multiple (LCM) of 5, 6, and 8 = 120
300 = 120 × 3 – 60
700 = 120 × 5 + 100
Number of numbers divisible by 5, 6, and 8 between 300 and 700 = 5 - 3 + 1 = 3
Hence, the correct answer is 3.
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