Question

Ques. the least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

Answer 1

Solution :-

To find the least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12, we have to find the L.C.M. of 3, 4, 7, 10 and 12

L.C.M. of 3, 4, 7, 10 and 12

                _______________
            2 | 3, 4, 7, 10, 12
               |-------------------------
            2 | 3, 2, 7,  5,   6  
               |------------------------ 
            3 | 3, 1, 7,  5,   3 
               |------------------------
            5 | 1. 1. 7,  5,  1
               |------------------------
            7 | 1, 1, 7,  1, 1
               |------------------------
               | 1, 1, 1,  1, 1

L.C. of 3, 4, 7 10 and 12 = 2*2*3*5*7 = 420

In the above factorization, 3, 5 and 7 are not in pairs, we have to multiply 420 by 3*5*7 

= 420*3*5*7  

= 44100

√44100 = 210

44100 is a perfect square number which is exactly divisible by 3, 4, 7, 10 and 12.

Answer 2

Step-by-step explanation:

44100 is the most deserving appropriate for the question