LCM of 135,225 and 315

Answer 1

To find the least common multiple (LCM) of 135, 225, and 315, we can follow these steps:

1. Find the prime factorization of each number:

   • 135 = 3 * 3 * 3 * 5

   • 225 = 3 * 3 * 5 * 5

   • 315 = 3 * 3 * 5 * 7

2. Identify the highest power of each prime factor that appears in any of the numbers:

   • The highest power of 3 is 3^3

   • The highest power of 5 is 5^2

   • The highest power of 7 is 7^1

3. Multiply these highest powers together to calculate the LCM:

   LCM = 3^3 * 5^2 * 7^1 = 3 * 3 * 3 * 5 * 5 * 7 = 9450

Therefore, the LCM of 135, 225, and 315 is 9450.