3
Solution:
1. Prime factorization of each number:
- 18 = 2 * 3^2
- 24 = 2^3 * 3
- 30 = 2 * 3 * 5
2. Identify the unique prime factors and their highest powers:
- 2^3 (the highest power among all)
- 3^2 (the highest power among all)
- 5
3. Multiply these together:
LCM = 2^3 * 3^2 * 5
LCM = 8 * 9 * 5
LCM = 360
Therefore, the LCM of 18, 24, and 30 is 360.
Added 10/3/2023 12:07:29 PM
This answer has been confirmed as correct and helpful.
