Answer:
60
Explanation:
The Least Common Multiple (LCM) of a set of numbers is the smallest number that is divisible by all the numbers in the set.
To find the LCM of 5, 6, 12, and 15, we can use the prime factorization method:
Step 1: Prime factorize each number:
- 5 = 5
- 6 = 2 × 3
- 12 = 2^2 × 3
- 15 = 3 × 5
Step 2: Identify the highest powers of each prime factor:
- The highest power of 2 is 2^2.
- The highest power of 3 is 3.
- The highest power of 5 is 5.
Step 3: Multiply the highest powers together:
2^2 × 3 × 5 = 60
Therefore, the LCM of 5, 6, 12, and 15 is 60.