Find the minimum perfect square divisible by 3,4,5, and 7 ?

(A) 44100 (B) 8820 (C) 14700 (D) 8820 (E) None of these

(A) 44100 (B) 8820 (C) 14700 (D) 8820 (E) None of these

__Solution:__
Given numbers are: 3,4,5,
and 7

To find minimum perfect
square divisible by a group of numbers, first make each number of the group a
perfect square and then find LCM.

3 is not a perfect square,
hence consider 3

^{2}= 9
4 is a perfect square, hence nothing can be done on
it

5 is not a perfect square, hence consider 5

^{2}= 25
7 is not a perfect square, hence consider 7

^{2}= 49
Now, we need a number which is divisible by these
numbers. For that we need to find LCM of 9,4,25,49. As these numbers are
co-prime, LCM is nothing but simple multiplication:

9 * 4 * 25 * 49 =
44100

**Answer (A)**
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