# Least Common Multiple LCM | Summary and Q&A

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May 27, 2016
by
tecmath
Least Common Multiple LCM

## TL;DR

This video discusses various methods for finding the least common multiple (LCM) of numbers, starting with simpler examples and progressing to more complex ones.

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### Q: What is the least common multiple (LCM)?

The LCM is the smallest number that multiple given numbers can divide into without leaving a remainder.

### Q: How can the LCM be found using the method of listing common multiples?

By listing the multiples of each number and finding the smallest one that they have in common, we can determine the LCM.

### Q: What is the division method for finding the LCM?

The division method involves continuously dividing the given numbers by common factors and reducing them to their lowest terms, then multiplying these factors together to get the LCM.

### Q: Why is it important to reduce the given numbers to their lowest terms before finding the LCM?

Reducing the numbers to their lowest terms ensures accuracy in finding the LCM and avoids potential mistakes that can occur with larger numbers.

## Summary & Key Takeaways

• The least common multiple (LCM) is the smallest number that multiple given numbers can divide evenly into.

• One way to find the LCM is by listing common multiples of the given numbers and identifying the smallest one they share.

• Another method involves continuously dividing the given numbers by common factors until they cannot be reduced further, and then multiplying these factors together to find the LCM.