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LCM
Two Numbers Three Numbers Multiple Numbers Prime Factorization Division Listing Multiples Ladder Exponents Venn Diagram Factor Tree
HCF
Two Numbers Three Numbers Multiple Numbers Prime Factorization Listing Ladder Exponents Venn Diagram Division Factor Tree All Factors By Division All Factors By Multiplication

LCM Of Three Numbers By Listing Multiples

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Method
Listing Multiples Prime Factorization Venn Diagram Division Ladder Exponents
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Answer: LCM of 12, 16, 20 is 240
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Step B: Find the LCM Using Listing Multiples

LCM Method
Calculate LCM
Multiples of 12:
12
24
36
48
60
72
84
96
108
120
132
144
156
168
180
192
204
216
228
240
252
264
Multiples of 16:
16
32
48
64
80
96
112
128
144
160
176
192
208
224
240
256
272
Multiples of 20:
20
40
60
80
100
120
140
160
180
200
220
240
260
280

Listing Multiples Help

1. List multiples of each number.
2. Identify common multiples.
3. Choose smallest multiple as LCM.

What is Listing Multiples?

The listing multiples method involves finding multiples of each number and identifying common multiples. The smallest common multiple is the LCM of the given numbers.

Solved Examples

Examples

Example 1: Find the LCM of 2, 5 and 8.
Solution:
LCM of 2 and 5: Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Smallest common multiple is 40.
Therefore, LCM(2, 5, 8) = 40. Example 2: Find the LCM of 12, 16 and 20.
Solution:
LCM of 12 and 16: Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, ...
Multiples of 20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, ...
Smallest common multiple is 240.
Therefore, LCM(12, 16, 20) = 240. Example 3: Find the LCM of 8, 10 and 12.
Solution:
LCM of 8 and 10: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Smallest common multiple is 120.
Therefore, LCM(8, 10, 12) = 120.

Exercise

1. LCM(3,5,7) = 105. 2. LCM(8,10,12) = 120. 3. LCM(12,16,20) = 240. 4. LCM(18,24,10) = 360. 5. LCM(30,40,25) = 600. 6. LCM(4,5,8) = 40. 7. LCM(9,12,16) = 144. 8. LCM(6,8,16) = 48. 9. LCM(5,11,13) = 715. 10. LCM(30,45,150) = 450.

Least Common Multiple (LCM)

What is LCM?

LCM or Least Common Multiple, is the smallest number that is divisible by each of the given numbers without leaving a remainder.
The LCM formula can be expressed as,
LCM Formula:
LCM = (a × b)/ HCF(a,b)
where, a and b = Two terms
HCF(a, b) = Highest common factor of a and b.

How to find LCM?

The Least Common Multiple or LCM can be found using various methods, such as: Prime Factorization MethodDivision MethodListing Multiples MethodLadder MethodExponents MethodVenn Diagram Method

FAQ

What are the steps involved to find LCM?
1. Input three numbers into the calculator.
2. List the multiples of each number.
3. Identify the smallest common multiple as the LCM.
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