Question

Find the smallest square number that is divisible by each of the numbers 18,20,24 and 27 copy solved solution​

Answer 1

Answer:

Step-by-step explanation:

L.c.m of 18,20,24 and 27 is 1080.But, 1080 is not perfect.

So, 1080 = 2×2×2×3×3×3×5

To make it as a perfect square we have to multiply 2×3×5.

so 2×2×2×2×3×3×3×3×5×5 = 32400 which is divisible by all above numbers.

Answer 2

Answer:

For finding the smallest square number that is divisible by each of the number which are given we should first find the LCM of the given numbers.

That is ,

LCM of 18,20,24 and 27 is 1080. But,1080 is not smallest square number.

So, to make it a perfect square number we have to multiply 2×3×5

So,

 2×2×2×2×3×3×3×3×5×5 = 32400

Hence,32400 is divisible by each of the numbers.

Extra :

LCM = Least Common Multiple.

LCM is the group of number which have smallest number that is divisible by each of the numbers.