Question

Find the least number which is a perfect square and which is also divisible by 16,18 and 4

Answer 1

hi

Find the least number which is a perfect square and which is also divisible by 16,18 and 4

least perfect sqaure is 4

now least perfect sqaure divisible by 16 ,18 and 4

so 

lcm of 16,18 and 4

16 = 2*2*2*2

18 = 2*3*3

4 = 2*2

lcm = 2*2*2*3*2*3

 = 144

√144 = 12

hence 144 is the least number which is a perfect square and which is also divisible by 16,18 and 4

hope it helps u

:)

Answer 2

Solution:-

given by :-

the numbers are 16,18 and 4

$16 = 2 \times 2 \times 2 \times 2 \\ 18 = 2 \times 3 \times 3 \\ 4 = 2 \times 2 \\ lcm = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 144 \\ now \: we \: have \\ \sqrt{144} = 12 \\ the \: perfect \: squere \: number \: is \: 144$