Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.

Explanation

To determine the smallest 3-digit number which is exactly divisible by 6, 8, and 12, we can follow these steps:

### Step 1: Find the Least Common Multiple (LCM) of 6, 8, and 12
To find the LCM, we can use the prime factorization method.

- **Prime factorization of 6**: \(6 = 2^1 \times 3^1\)
- **Prime factorization of 8**: \(8 = 2^3\)
- **Prime factorization of 12**: \(12 = 2^2 \times 3^1\)
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