Question

Tim and Tom are trying to find the least number which is a perfect square and is divisible by 16, 18 and 45. Help them find the required number.

Step by step explanation pls,
Thx

Answer 1

3,600 is the least perfect square number.

Explanation:

In order to find the least number, you have to find the LCM of 16, 18, and 45.

Prime factorization of 16 = 2^4

Prime factorization of 18 = 2 • 3 • 3

Prime factorization of 45 = 3 • 3 • 5

LCM (16,18,45) = 2^4 • 3^2 • 5 = 720

Since 5 is not in pair, use it to multiply it to 720.

720 • 5 = 3,600

Answer 2

Answer: The required number is 3600

Step-by-step explanation: for finding the least perfect square number from 16, 18, and 45 are

at first, we find L.C.M of the above number

then, multiple of 16 = 2 *2*2*2

multiple of 18 = 2*3*3

multiple of 45 = 5*3*3

then, above a multiple of 16,18 and 45

L.C.M =2*2*3*3*5 =720

the above is not a perfect square then we multiply of 5 in the above L.C.M= 720*5 = 3600