The HCF of `2472, 1284` and a third number `N` is `12`. If their LCM is `2^(3)xx3^(2)xx5xx103xx107`. Find the number `N`.

Explanation

To find the number \( N \) given that the HCF of \( 2472, 1284 \) and \( N \) is \( 12 \), and their LCM is \( 2^3 \times 3^2 \times 5 \times 103 \times 107 \), we can follow these steps:

### Step 1: Factorize the given numbers
First, we need to factorize \( 2472 \) and \( 1284 \).

- **Factorization of \( 2472 \)**:
\[
2472 = 2^3 \times 3^1 \times 103^1
...