What is the least 5 digit number which is perfectly divisible by 12, 25, 45 and 60?
Correct Answer: Option C
The numbers that are perfectly divisible by all of 12, 25, 45 and 60 are their LCM and the multiples of the LCM.
12 = 2 × 2 × 3
25 = 5 × 5
45 = 3 × 3 × 5
60 = 2 × 2 × 3 × 5
∴ LCM of 12, 25, 45 and 60 = (2 × 2 × 3 × 3 × 5 × 5) = 900
According to the question, we need to find the least 5 digit number that is a multiple of 900. 10000/900 = 11.11
∴ The required 5 digit number = 12 × 900 = 10800
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