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Let x be the least number divisible by 8, 12, 30, 36, and 45 and x is also a perfect square. What is the value of x? -

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Question

Let x be the least number divisible by 8, 12, 30, 36, and 45 and x is also a perfect square. What is the value of x? 

Options

  • 3600

  • 4225

  • 2500

  • 4900

MCQ

Solution

3600

Explanation:

L.C.M of 8, 12, 30, 36 & 45

= 8 × 9 × 5

= 360

If any number is divisible by 360 then it will divisible by the above numbers.

From the option, only '3600' is divisible by 360 and also a perfect square. 

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HCF and LCM (Entrance Exam)
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