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 Multiple Numbers By Listing Multiples

Multiple Numbers Two Numbers Three Numbers

Method

Listing Multiples Prime Factorization Division Ladder Exponents

Enter Numbers (Comma Separated)
		Steps
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Answer: LCM of 16, 32, 48 is 96

Step B: Find the LCM Using Listing Multiples

LCM Method

Calculate LCM

Multiples of 16:

112

128

Multiples of 32:

128

160

Multiples of 48:

144

192

LCM

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 3 and 5.
Solution:
LCM of 3 and 5: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Smallest common multiple = 15.
Therefore, LCM(3, 5) = 15. Example 2: Find the LCM of 6 and 9.
Solution:
LCM of 6 and 9: Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Smallest common multiple = 18.
Therefore, LCM(6, 9) = 18. Example 3: Find the LCM of 8 and 12.
Solution:
LCM of 8 and 12: Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Smallest common multiple = 24.
Therefore, LCM(8, 12) = 24.

Exercise

1. LCM(16,32,48) = 96. 2. LCM(15,25,35) = 525. 3. LCM(15,20,25,30) = 300. 4. LCM(7,11) = 77. 5. LCM(4,6,8) = 24. 6. LCM(5,10,15) = 30. 7. LCM(11,22,33) = 66. 8. LCM(7,14,21) = 42. 9. LCM(10,20,30) = 60. 10. LCM(12,18,24) = 72.

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 Method Division Method Listing Multiples Method Ladder Method Exponents Method Venn Diagram Method

FAQ

What are the steps involved to find LCM?

1. Write down the given numbers.
2. List the multiples of each number until you find a common multiple.
3. Identify the least common multiple or LCM from the common multiples.

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