Question

find the smallest square number which is divided by each of following number 6 14 and 15​

Answer 1

2 because 2 is factor of unit digit of 2,4,6,8and 0

Answer 2

Step-by-step explanation:

First we will take LCM of 6,14&15

=3×2×7×5

=126

Since the smallest number by which 6,14,15 is divided is 126.

Now we need a square number so we need to do prime factorization of 126

126=2×3×3×7

We see that 2 and 7 are not in a pair

Hence the smallest number by which 126 should be multiplied in order to make it a perfect square is 14 i.e..2×7

126×14=1764

Hence 1764 is the smallest square number