if a =2*3x3, b=2x3x5,c=3*nx5 and LCM (a,b,c)=2*3x3*2x5 then n= * means to the power of..

We know that LCM is the lowest common multiple of the given numbers.

Here,

a = 2³ x 3

b = 2 x 3 x 5

c = 3ⁿ x 5

 

LCM of a,b,c = 2³ x 3ⁿ x 5

Since, LCM will consists of the highest power of the prime factors. So, the power of 3 in finding out the LCM will be n as both a and b have consists of only one 3 as one of their prime factors.

 

Now, comparing the LCM obtained above by the given LCM, we get,

n = 2