LCM of 4 and 11 is 44. By noting down the multiples of 4 and 11, the number divisible by 4 and 11 is the LCM. Least common multiple of 4 and 11 is the multiple which is commonly obtained by the multiplication process. (4, 8, 12, 16, 20, 24, 28, ….) and (11, 22, 33, 44, 55, 66, 77, ….) are the multiples of 4 and 11. The steps to find the LCM of two numbers according to the listing multiples, prime factorization and division methods can be learnt well in this article.
Also read: Least common multiple
What is LCM of 4 and 11?
The answer to this question is 44. The LCM of 4 and 11 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 11, is the smallest positive integer 44 which is divisible by both 4 and 11 with no remainder.
How to Find LCM of 4 and 11?
LCM of 4 and 11 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 11 Using Prime Factorisation Method
The prime factorisation of 4 and 11, respectively, is given by:
4 = 2 x 2 = 2²
11 = 11¹
LCM (4, 11) = 44
LCM of 4 and 11 Using Division Method
We’ll divide the numbers (4, 11) by their prime factors to get the LCM of 4 and 11 using the division method (preferably common). The LCM of 4 and 11 is calculated by multiplying these divisors.
|
2 |
4 |
11 |
|
2 |
2 |
11 |
|
11 |
1 |
11 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (4, 11) = 44
LCM of 4 and 11 Using Listing the Multiples
To calculate the LCM of 4 and 11 by listing out the common multiples, list the multiples as shown below.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ….
Multiples of 11 = 11, 22, 33, 44, 55, 66, …..
LCM (4, 11) = 44
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 4 and 11 Solved Examples
Question: If the GCD is 1 and the product of two numbers is 44, determine the LCM.
Solution:
Given
GCD = 1
Product = 44
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 44/1
LCM = 44
Hence, the LCM of 4 and 11 is 44.
Frequently Asked Questions on LCM of 4 and 11
What are the methods used to determine the LCM of 4 and 11?
Using the prime factorisation method, find the LCM of 4 and 11.
First we have to know the factors to find the LCM
4 = 2 x 2 = 2²
11 = 11¹
LCM is the product of prime factors raised to the highest exponent among 4 and 11.
LCM of 4 and 11 = 44
Find the GCF if the LCM of 4 and 11 is 44.
LCM x GCF = 4 x 11
As the LCM = 44
44 x GCF = 44
GCF = 44/44 = 1
The LCM and GCD of two numbers are 44 and 1. If one number is 4, calculate the other.
Consider y as the other number
GCD x LCM = 4 x y
y = (GCD x LCM)/4
y = (1 x 44)/ 4
y = 11
Hence, the other number is 11.
Write the relation between GCF and LCM of 4 and 11.
The relation between GCF and LCM of 4 and 11 is
GCF x LCM = 4 x 11
GCF x LCM = 44
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