1. Find LCM of 6,8 using Listing MethodSolution: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 multiplesThe numbers that appears in the lists are `color{red}{bb{24,48}},...`
Step-3: Find least common multipleThe first smallest number that appears in the lists is
`24``:.` LCM of `6,8` is
`24`
2. Find LCM of 4,6 using Listing MethodSolution: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 multiplesThe numbers that appears in the lists are `color{red}{bb{12,24,36}},...`
Step-3: Find least common multipleThe first smallest number that appears in the lists is
`12``:.` LCM of `4,6` is
`12`
3. Find LCM of 10,15 using Listing MethodSolution: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 multiplesThe numbers that appears in the lists are `color{red}{bb{30,60,90}},...`
Step-3: Find least common multipleThe first smallest number that appears in the lists is
`30``:.` LCM of `10,15` is
`30`
4. Find LCM of 15,20 using Listing MethodSolution: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 multiplesThe numbers that appears in the lists are `color{red}{bb{60,120}},...`
Step-3: Find least common multipleThe 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 MethodSolution: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 multiplesThe numbers that appears in the lists are `color{red}{bb{60}},...`
Step-3: Find least common multipleThe 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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