Answer:
Explanation:
To find the least common multiple (LCM) of 5, 10, 9, and 15, we can follow these steps:
1. List the prime factors of each number:
- 5: 5
- 10: 2 * 5
- 9: 3 * 3
- 15: 3 * 5
2. Identify the highest power of each prime factor that appears in any of the numbers:
- 2: appears in 10
- 3: appears in 9 and 15
- 5: appears in 5, 10, and 15
3. Multiply the highest powers of each prime factor:
- 2^1 * 3^2 * 5^1 = 2 * 9 * 5 = 90
Therefore, the least common multiple (LCM) of 5, 10, 9, and 15 is 90.