find the latest perfect square number which is exactly divisible by 8, 9 and 10.
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hye
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aim : we have to Find the latest perfect square number which is exactly divisible by 8, 9 and 10.
so we first find the lcm of 8 ,9 and 10
=>8 = 2*2*2
=>9 = 3*3
=>10 = 2*5
lcm => 2*2*2*3*3*5
Now for it to be a perfect square, it should have even powers
=>so lets aplly this formula
=>arlrady it is 2³ *3²*5
=> 2² *2² *3²*5²
=>4*4*9*25
=>3600
∴nswer is 3600
======================
hope it helps u..
==================================
aim : we have to Find the latest perfect square number which is exactly divisible by 8, 9 and 10.
so we first find the lcm of 8 ,9 and 10
=>8 = 2*2*2
=>9 = 3*3
=>10 = 2*5
lcm => 2*2*2*3*3*5
Now for it to be a perfect square, it should have even powers
=>so lets aplly this formula
=>arlrady it is 2³ *3²*5
=> 2² *2² *3²*5²
=>4*4*9*25
=>3600
∴nswer is 3600
======================
hope it helps u..
Anonymous:
you said it is already 2^3*3^2*5. So how does it become 2^2*2^2*3^2*5^2 in the next step??
Now for it to be a perfect square, it should have even powers
it was 2*2*2 which i made 2*2*2*2 to make it a a even poweer
ok
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