Question

15 12 × _____ = perfect square

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Answer 1

The answers given are all correct.

8=23  

12=22∗3  

15=3∗5  

20=22∗5  

So choosing the maximum of all the prime exponents that exist in the numbers above, we have,

LCM =  23∗3∗5=120  

Now, I will use an approach which others have not used to get to the least perfect square.

120 =  23∗3∗5  

Now in a perfect square, ALWAYS, exponent of each prime is always even.

So, we will change the exponent of 2 from 3 to 4.

We will change the exponent of 3 from 1 to 2.

We will change the exponent of 5 from 1 to 2.

Finally we have the number  24∗32∗52=3600 .

So, required answer is 3600.

thanks

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Answer 2

Answer:

the answer will be 15 12

Step-by-step explanation: