To find the least common multiple (LCM) of 135, 225, and 315, we can follow these steps:
Find the prime factorization of each number:
135 = 3 * 3 * 3 * 5
225 = 3 * 3 * 5 * 5
315 = 3 * 3 * 5 * 7
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
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.
The LCM is: 315
The LCM is 315.
The LCM is 3150.
The LCM is 76230.
The LCM is 315.
The LCM is 3780.
LCM of 42 and 315 is 630.
The LCM is 315.
The Least Common Multiple (LCM) of (5,9,7) is 315.The LCM of 5, 7, and 9 is 315.
Since 315 is a multiple of 9, it is automatically the LCM.
The LCM of 315 and 9 is 315
It is: 315