The LCM of $47$, $141$ and $188$ is:

Let's find the prime factorization of each number:
* $47$ is a prime number $=47^1$
* $141=3\times 47=3^1\times 47^1$
* $188=4\times 47=2^2\times 47^1$

To find the Least Common Multiple (LCM), take the highest power of each prime factor involved:

* Highest power of $2=2^2=4$
* Highest power of $3=3^1=3$
* Highest power of $47=47^1=47$

$$\text{LCM}=2^2\times 3^1\times 47^1$$

$$\text{LCM}=4\times 3\times 47=12\times 47=564$$