Question

Find the least perfect square exactly divisible by each one of the numbers 4,5, 10.

Chapter - squares and square roots
Book-NCERT practice workbook

Answer 1

hye

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aim :t to find the least perfect square exactly divisible by each one of the numbers 4,5, 10.

=> fist let us find the lcm of 4,5 and 10

=>4 = 2*2

=>5 = 5*1

=>10 = 2*5

=>lcm = 2*2*5 (they are the prime factors 

=>.20

20 is the lcm of 4 , 5 and 10

now multiply the  prime factors so that all the prime factors will have even multiplicities. 

=> the prime factors was2*2*5

=>2² *5

>now 

=>2 ² * 5² 

=>4 *25

=> 100

∴100 is the answer 

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hope it helps u/////////////////////