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Question:
if a=2*2*2*3,b=2*3*5,c=3per,power n and lcm of a,b,c =2*2*2*3*3*5 then n=?
Answer:

Given,

a = 2*2*2*3

b = 2*3*5

c = 3n

Now, LCM(a, b, c) = 2 * 2 * 2 * 3 * 3 * 5

=> 2 * 2 * 2 * 3n * 5 = 23 * 32 * 5

=> 23 * 3n * 5 = 23 * 32 * 5

=> n = 2

So, the value of n is 2

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