# LCM & HCF YouTube Lecture Handouts

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## LCM & HCF Story with Tree & Circles

Mayank explains the following two key concepts to quickly and easily identify and solve all HCF and LCM problems - 1. Quickly find HCF and LCM using 3 simple tricks in this video. 2. To detect HCF and LCM word problems, use the following keywords: LCM 1. Minimum number of days, rounds etc. 2. Least amount of time, things etc. 3. Smallest number, length, amount of time etc. HCF 1. Maximum (possible) number of days, things etc. 2. Longest (possible) size, length, amount of time etc.

## Our Journey

• Factors
• Prime Factors
• Multiples
• Factors and Multiples
• Highest Common Factor
• Common Factors
• Least Common Multiple
• Common Multiples

Understanding Factors

## Prime Factors

• Factors which are prime (numbers) are called prime factors

## Factors and Multiples

• Factors can (completely) divide the number

< Number

• Multiples are (completely) divisible by the number.

> Number

## Finding Common Factors (HCF) Using Grouping

Common Multiples of 32 and 24

32 … 32, 64, 96, 128, 160,192, 224, …

24 … 24, 48, 72, 96, 120, 144,168, 192, …

Least Common Multiple - LCM

Lowest common Factor – LCM

Highest Common Multiple - HCH

## Other Names of HCF

• Greatest Common Factor - GCF
• Greatest Common Divisor - GCD

Why Prime Factors?

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