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How to find lcm?
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How to find lcm?
How to Find LCM?
Finding the Least Common Multiple (LCM) of two or more numbers involves identifying the smallest number that is a multiple of all the given numbers. Here's a step-by-step guide on how to find the LCM:

Step 1: Prime Factorization
- Begin by finding the prime factorization of each number. Break down each number into its prime factors.

Step 2: Identify Common Prime Factors
- Identify all the common prime factors among the numbers. Include each prime factor the greatest number of times it appears in any of the numbers.

Step 3: Multiply Common Prime Factors
- Multiply all the common prime factors identified in the previous step. This product is a part of the LCM.

Step 4: Include Remaining Prime Factors
- Include any remaining prime factors from each number that were not common in the multiplication from the previous step.

Step 5: Calculate LCM
- Multiply all the prime factors (common and remaining) to obtain the LCM of the given numbers.

Example:
Let's find the LCM of 12 and 15.
- Prime factorization of 12: 2^2 * 3
- Prime factorization of 15: 3 * 5
- Common prime factor: 3
- Multiply common factor: 3
- Remaining prime factors: 2^2, 5
- LCM = 3 * 2^2 * 5 = 60
By following these steps, you can efficiently find the LCM of any set of numbers.
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