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:LCM1. Minimum number of days, rounds etc. 2. Least amount of time, things etc. 3. Smallest number, length, amount of time etc.HCF1. 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
Understanding Multiples
Factors and Multiples

Factors can (completely) divide the number
< Number

Multiples are (completely) divisible by the number.
> Number
Factorization Using Tree of Factors
Tree of Factors 24
Common Factors of 32 and 24
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
HCF and LCM Combining the Two Steps
Other Names of HCF

Greatest Common Factor  GCF

Greatest Common Divisor  GCD
Why Prime Factors?
Mayank