the smallest perfect square which is divisible by 3 4 5 and 6 is
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900 is your answer ....
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Answer:let's see that we have four digits 3 ,4 ,5,and 6
When we will break these digits we will get
3
4=2×2
5
6=2×3
After having lcm of it we gets 2×2×3×5=60
What we see here ???????
We sees here that 2 has already it's square but 3 and 5 don't have there squares
Since we have to find the perfect square
Therefore to get the perfect square we must make 3 and 5 in the form of square .
To have the squares of these two digits we have to multiply the lcm by 3 and 5
After multiplying we gets 60×3×5=900
Hence this will be the perfect square which will be divisible by the digits 2,3,4,5 and 6
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Hungenahalli Sitaramarao Badarinath
Hungenahalli Sitaramarao Badarinath, Ph.D. in Civil Engineering. Maths keeps one mentally active.
Answered Apr 25, 2018 · Author has 24.2k answers and 11.6m answer views
Find the LCM thus
3
4 = 2x2
5
6 = 2x3
LCM = 2x2x3x5 = 60.
You see, in the LCM 2 already squared while 3 and 5 are not.
So you need to multiply 60 by 3 and 5 to get 900 which is a perfect square and divisible by 3, 4, 5 and 6.