LCM of 11 and 14 is 154. Students can know the Least common multiple value of 11 and 14 using the common multiples. (11, 22, 33, 44, 55, 66, ….) and (14, 28, 42, 56, 70, 84,….) are the multiples of 11 and 14. The methods used to determine the LCM of two numbers are prime factorisation, division and listing the multiples.
Also read: Least common multiple
What is LCM of 11 and 14?
The answer to this question is 154. The LCM of 11 and 14 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 14, is the smallest positive integer 154 which is divisible by both 11 and 14 with no remainder.
How to Find LCM of 11 and 14?
LCM of 11 and 14 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 14 Using Prime Factorisation Method
The prime factorisation of 11 and 14, respectively, is given by:
11 = 11 = 11¹
14 = 2 x 7 = 2¹ x 7¹
LCM (11, 14) = 154
LCM of 11 and 14 Using Division Method
We’ll divide the numbers (11, 14) by their prime factors to get the LCM of 11 and 14 using the division method (preferably common). The LCM of 11 and 14 is calculated by multiplying these divisors.
|
2 |
11 |
14 |
|
7 |
11 |
7 |
|
11 |
11 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (11, 14) = 154
LCM of 11 and 14 Using Listing the Multiples
To calculate the LCM of 11 and 14 by listing out the common multiples, list the multiples as shown below.
Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, ….
Multiples of 14 = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, …..
LCM (11, 14) = 154
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 11 and 14 Solved Examples
Question: If the GCD is 1 and the product of two numbers is 154, determine the LCM.
Solution:
Given
GCD = 1
Product = 154
LCM x GCD = Product of two numbers
LCM = Product/ GCD
LCM = 154/1
LCM = 154
Hence, the LCM of 11 and 14 is 154.
Frequently Asked Questions on LCM of 11 and 14
In the numbers 111, 133, 154, 280, find the LCM of 11 and 14.
Determine the GCF if the LCM of 11 and 14 is 154.
LCM x GCF = 11 x 14
Given
LCM of 11 and 14 = 154
154 x GCF = 154
GCF = 154/154 = 1
Show the relation between GCF and LCM of 11 and 14.
The relation between GCF and LCM of 11 and 14 is:
LCM x GCF = 11 x 14
LCM x GCF = 154
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