Asked by md. raja
Let's find the least square number other than zero which is divisible by 10,15,20and 30.Also let's write the next square number which will be divisible by these number.
Answers
Answered by
Reiny
To be a perfect square, the number must be factorable into pairs of equal factors
e.g. 144 = 2x2 x 2x2 x 3x3
10 = 2x5
15 = 3x5
20 = 2x2x5
30 = 2x3x5
So the LCM would be 2x2 x 3 x 5
So to pair them up, we will need another 3x5
So the least square divisible by 10,15,20, and 30
= 2x2 x 3x3 x 5x5 = 900
Using the ideas above, what do you think would be the answer to your second part ?
e.g. 144 = 2x2 x 2x2 x 3x3
10 = 2x5
15 = 3x5
20 = 2x2x5
30 = 2x3x5
So the LCM would be 2x2 x 3 x 5
So to pair them up, we will need another 3x5
So the least square divisible by 10,15,20, and 30
= 2x2 x 3x3 x 5x5 = 900
Using the ideas above, what do you think would be the answer to your second part ?