1. **State the problem:** Find the least common multiple (LCM) of 8, 6, and 3. 2. **Formula and rules:** The LCM of numbers is the smallest number that is a multiple of all the given numbers. 3. **Step-by-step solution:** - List multiples of each number: - Multiples of 8: 8, 16, 24, 32, ... - Multiples of 6: 6, 12, 18, 24, 30, ... - Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ... - The smallest common multiple in all lists is 24. 4. **Simpler way using prime factors:** - Prime factors of 8: $2^3$ - Prime factors of 6: $2 \times 3$ - Prime factors of 3: $3$ - Take the highest powers of all primes: - For 2: $2^3$ - For 3: $3^1$ - Multiply: $$2^3 \times 3 = 8 \times 3 = 24$$ **Final answer:** The least common multiple of 8, 6, and 3 is **24**.