Question

Find the Icm. 48, 162, and 3

Answer 1

1296

1) Let's find out the LCM (48,162, 3)

Let's factorize it by prime numbers, dividing it by a prime number:

2) When doing it we need to divide by the prime numbers, successively. The ones not divisible by 2 (like 81) we keep it.

So now, we can write that counting how many times each prime number on the right gets repeated:

$LCM(48,162,3)=2^4\cdot3^4=16\cdot81=1296$

3) Hence, the LCM of 48, 162, and 3 is 1296