Determine the greatest 3-digit number exactly divisible by 8, 10 and 12. and 6 ,8 and 10

Explanation

To determine the greatest 3-digit number that is exactly divisible by 8, 10, and 12, we will follow these steps:

### Step 1: Find the LCM of 8, 10, and 12
To find the LCM (Least Common Multiple), we will factor each number into its prime factors:

- **8** = 2 × 2 × 2 = 2^3
- **10** = 2 × 5 = 2^1 × 5^1
- **12** = 2 × 2 × 3 = 2^2 × 3^1
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