Question

What is the least number which is exactly divisible by 8 9 12 15 and 18 and is also a perfect square?​

Answer 1

Answer:

sorry bro but l can't help you

Answer 2

Answer:

3600

Step-by-step explanation:

Let the number we seek be  n.  

First, we compute the LCM of the given set of numbers. If  n  is to satisfy your criteria, it must by definition be divisible by the LCM.

We have  lcm(8,9,12,15,18)=lcm(23,32,22⋅3,3⋅5,2⋅32)=23⋅32⋅5.  

Now we write  n=23⋅32⋅51⋅k,  and we seek to minimize k. Note that n is a perfect square if and only if the powers of all primes in its factorization are even. 3 is odd, 2 is even, and 1 is odd, so the least value of k that makes the powers of 2, 3, 5 even would be  k=21⋅51=10,  giving us  n=3600,  and this works.