the least number,which is perfect square and is divisible by each 16,20,and 24 is answer with full soulution
Answers
Answered by
170
First we will calculate the LCM by Prime Factorisation.
16 = 2x2x2x2
20 = 2x2x5
24 = 2x2x2x3
LCM = 2x2x2x2x3x5
For the no. to be perfect square, it must have each no. in pair of two.
No= 2x2x2x2x3x3x5x5
= 3600
16 = 2x2x2x2
20 = 2x2x5
24 = 2x2x2x3
LCM = 2x2x2x2x3x5
For the no. to be perfect square, it must have each no. in pair of two.
No= 2x2x2x2x3x3x5x5
= 3600
Answered by
48
Answer:3600
Step-by-step explanation:
LCM of 16 , 20 ,24 is 240
Then for making it perfect square we have to multiply it with such no which is divisible by 16, 20 and 14
So
Will multiply 3 & 5 with 240 to make it perfect square.
Therefore,
240*3*15=3600
Which is a perfect square and also a least no. which is divisible by 16,20,and24
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