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What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?
  1. 900
  2. 400
  3. 1600
  4. 2500
Explanation

In this type of question, We need to find out the LCM of the given numbers.

LCM of 12, 15, 18 and 20;

12=2×2×3;15=3×5;18=2×3×3;20=2×2×5;

Hence, LCM = 2×2×3×5×3

Since, the soldiers are in the form of a solid square.

Hence, LCM must be a perfect square. To make the LCM a perfect square, We have to multiply it by 5,

hence,

The required number of soldiers

= 2×2×3×3×5×5

= 900

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