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LCM of 135,225 and 315

Updated: 10/17/2024
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Ovisha Shrestha

Lvl 1
8mo ago

Best Answer

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.

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Wiki

Lvl 5
8mo ago
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Q: LCM of 135,225 and 315
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