Question

Find the least number which is divisible by 12, 15 and 18. Also, find the smallest number which should be:
1. Multiplied with that least number to make it a perfect square.
2. Added with that least number to make it a perfect square.
3. Subtracted from that least number to make it a perfect square.

Answer 1

3 is the answer

I think that the answer will be correct

Answer 2

Answer:

Least number= 180, Ans(1)=5 ,  Ans(2)=16 and Ans(3)= 11.

Step-by-step explanation:

The least number is the LCM.

LCM of 12, 15 and 18 is 180.

180 = $2^{2} *3^{2}*5^{1}$ .

1. It is clear that if we multiply it by 5 then it becomes $2^{2} *3^{2}*5^{2}$ which is perfect square.

2. We can see that 180 is between 169= $13^2$ and 196=$14^2$ . So to make it 196, we will add 16 (180+16= 196) to it.

3. And, to make it 169= $13^2$,  we will substract 11 from 180.

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