Find the smallest prefect square divisible by 3,4,5and 6
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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
Step-by-step explanation:
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The smallest perfect square divisible by 3,4,5 and 6 is 900
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