1. Examples
1. Find LCM of 6,8 using Listing Method
Solution:
Step-1: Lists the first few multiples of `6,8`
Multiples of `6=6,12,18,color{red}{bb{24}},30,36,42,color{red}{bb{48}},54,60,...`
Multiples of `8=8,16,color{red}{bb{24}},32,40,color{red}{bb{48}},56,64,72,80,...`
Step-2: Find common multiples
The numbers that appears in the lists are `color{red}{bb{24,48}},...`
Step-3: Find least common multiple
The first smallest number that appears in the lists is `24`
`:.` LCM of `6,8` is `24`
2. Find LCM of 4,6 using Listing Method
Solution:
Step-1: Lists the first few multiples of `4,6`
Multiples of `4=4,8,color{red}{bb{12}},16,20,color{red}{bb{24}},28,32,color{red}{bb{36}},40,...`
Multiples of `6=6,color{red}{bb{12}},18,color{red}{bb{24}},30,color{red}{bb{36}},42,48,54,60,...`
Step-2: Find common multiples
The numbers that appears in the lists are `color{red}{bb{12,24,36}},...`
Step-3: Find least common multiple
The first smallest number that appears in the lists is `12`
`:.` LCM of `4,6` is `12`
3. Find LCM of 10,15 using Listing Method
Solution:
Step-1: Lists the first few multiples of `10,15`
Multiples of `10=10,20,color{red}{bb{30}},40,50,color{red}{bb{60}},70,80,color{red}{bb{90}},100,...`
Multiples of `15=15,color{red}{bb{30}},45,color{red}{bb{60}},75,color{red}{bb{90}},105,120,135,150,...`
Step-2: Find common multiples
The numbers that appears in the lists are `color{red}{bb{30,60,90}},...`
Step-3: Find least common multiple
The first smallest number that appears in the lists is `30`
`:.` LCM of `10,15` is `30`
4. Find LCM of 15,20 using Listing Method
Solution:
Step-1: Lists the first few multiples of `15,20`
Multiples of `15=15,30,45,color{red}{bb{60}},75,90,105,color{red}{bb{120}},135,150,...`
Multiples of `20=20,40,color{red}{bb{60}},80,100,color{red}{bb{120}},140,160,180,200,...`
Step-2: Find common multiples
The numbers that appears in the lists are `color{red}{bb{60,120}},...`
Step-3: Find least common multiple
The first smallest number that appears in the lists is `60`
`:.` LCM of `15,20` is `60`
5. Find LCM of 10,15,20 using Listing Method
Solution:
Step-1: Lists the first few multiples of `10,15,20`
Multiples of `10=10,20,30,40,50,color{red}{bb{60}},70,80,90,100,...`
Multiples of `15=15,30,45,color{red}{bb{60}},75,90,105,120,135,150,...`
Multiples of `20=20,40,color{red}{bb{60}},80,100,120,140,160,180,200,...`
Step-2: Find common multiples
The numbers that appears in the lists are `color{red}{bb{60}},...`
Step-3: Find least common multiple
The first smallest number that appears in the lists is `60`
`:.` LCM of `10,15,20` is `60`
This material is intended as a summary. Use your textbook for detail explanation.
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