Subject
Quantitative Aptitude
Topic
Number
What is the least square number exactly divisible by 5, 6, 9, 15, 18 and 20?
What is the least square number exactly divisible by 5, 6, 9, 15, 18 and 20?
ক)
3600খ)
900গ)
2250ঘ)
400ঙ)
600Explanation
The numbers that are perfectly divisible by all of 5, 6, 9, 15, 18 and 20 are their LCM and the multiples of the LCM. 5 = 5 6 = 2 × 3 9 = 3 × 3 15 = 3 × 5 18 = 2 × 3 × 3 20 = 2 × 2 × 5 ∴ LCM of 5, 6, 9, 15, 18, 20 = (2 × 2 × 3 × 3 × 5) = 180 ∴ smallest multiple of 180 which is a perfect square = (2 × 2 × 3 × 3 × 5) × 5 = 900 ∴ required number = 900Related questions
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