Subject
Quantitative Aptitude
Topic
Number
What is the least 5 digit number which is perfectly divisible by 12, 25, 45 and 60?
What is the least 5 digit number which is perfectly divisible by 12, 25, 45 and 60?
ক)
21600খ)
30240গ)
10800ঘ)
50400ঙ)
10080Explanation
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 = 10800Related questions
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