1. **State the problem:** Howard has golf lessons for Driver every 5 days, Putter every 6 days, and Sand Bunker every 8 days. He had all three lessons on the same day. We need to find after how many days he will have all three lessons again on the same day. 2. **Formula and concept:** To find when all three lessons coincide again, we need to find the Least Common Multiple (LCM) of the three lesson intervals: 5, 6, and 8. 3. **Find the prime factors:** - 5 is prime: $5$ - 6 factors into $2 \times 3$ - 8 factors into $2^3$ 4. **Calculate the LCM:** The LCM is the product of the highest powers of all prime factors: $$\text{LCM} = 2^3 \times 3 \times 5$$ 5. **Calculate the value:** $$2^3 = 8$$ $$8 \times 3 = 24$$ $$24 \times 5 = 120$$ 6. **Interpretation:** Howard will have all three lessons again on the same day after 120 days. **Final answer:** $$\boxed{120 \text{ days}}$$