the boys of a school can be arranged into 15,18 or 24 equal rows and also into a solid square. what may be the least number of boys in the school
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The number has to be evenly divisible by 12,15,18.
12 = 2²× 3
15 = 3 × 5
18 = 2 × 3²
LCM is thus 2² × 3² × 5 = 180
But, we want the number to be a perfect square. Since it already is a multiple of 2² and 3², we just need to add a factor of 5 to get 5²
180×5 = 900
Hope it helps you......
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