Question

solve this problem with solution please

Answer 1

ANSWER
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(I) LCM of 2, 4 and 5 = 20

Lowest perfect square perfectly divisible by 20 is 100

(ii) LCM of 3, 4, 5, 6 = 60
Lowest perfect square divisible by 60 is 900

(iii) LCM of 6, 8, 10, 12 = 120
Lowest perfect square divisible by 120 is 3600

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Answer 2

Given :  a)  2 , 4 , 5     ,  b)  3 , 4 , 5 , 6   c)  6 , 8 , 10 , 12

To Find : Least perfect square which is divisible by all these number

Solution:

2 , 4 , 5

Find LCM

2 = 2 * 1

4 = 2 * 2

5 = 5 * 1

LCM = 2 *2 * 5  

= 2² * 5

to make it perfect square multiply by 5

2² * 5²

= 10²

= 100

3 , 4 , 5 , 6

3 = 3 * 1

4 = 2 * 2

5 = 5 * 1

6 = 2 * 3

LCM = 2 * 2 * 3 * 5  

= 2² * 15

Multiply by 15  to make it perfect square

= 2² * 15²

= 30²

= 900

6 = 2 * 3

8 = 2 * 2  * 2

10 = 2 * 5

12 = 2 * 2 * 3

LCM = 2 * 2 * 2 * 3 * 5  

= 2² * 30

Multiply by 30 to make it perfect square

= 2² * 30²

= 60²

= 3600

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