How do you use least common multiple?

Question

Mila Anderson · Accepted Answer

Please follow the processes as given below.

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Autumn Arnold · Answer

undefined The least common multiple (LCM) of two or more numbers is the smallest multiple that is common to all of the numbers.

To find the least common multiple:

1. **Prime Factorization Method:** 
   - Find the prime factorization of each number.
   - Take the highest power of each prime factor that appears in any of the numbers.
   - Multiply these highest powers together to get the LCM.

2. **Using a Ladder/Tree Diagram:**
   - Write down the numbers to be compared.
   - Break down each number into its prime factors.
   - List out all the prime factors.
   - Multiply together the highest power of each prime factor.

3. **Using Division Method:**
   - List the numbers.
   - Divide them by prime numbers starting from 2 and continuing until you can't divide any of the numbers anymore.
   - Write down all the factors.
   - Multiply all the factors to get the LCM.

The LCM is often used in various mathematical operations, including adding and subtracting fractions with different denominators, solving equations involving fractions, and solving problems related to periodic events or cycles.