Question

Find the value of n= ?
If a=2²x3, b= 2x3x5, c=3^nx5 and LCM (a,b,c)= 2³x3²x5​

Answer 1

Answer:

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

Here,

a = 2³ x 3 b=2x3x5

c = 3 x 5

LCM of a,b,c = 2³ x 3 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