LCM of 11 and 44 is 44. The method used to get the smallest common multiple between the numbers 11 and 44 is the LCM. The common multiples of the numbers helps to determine the least common multiple of 11 and 44. (11, 22, 33, 44, 55, 66, ….) and (44, 88, 132, 176, 220, 264, ….) are the multiples of 11 and 44. The LCM of two numbers can be found easily by listing the multiples, prime factorization and division methods.
Also read: Least common multiple
What is LCM of 11 and 44?
The answer to this question is 44. The LCM of 11 and 44 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 44, is the smallest positive integer 44 which is divisible by both 11 and 44 with no remainder.
How to Find LCM of 11 and 44?
LCM of 11 and 44 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 11 and 44 Using Prime Factorisation Method
The prime factorisation of 11 and 44, respectively, is given by:
11 = 11¹
44 = 2 x 2 x 11 = 2² x 11¹
LCM (11, 44) = 44
LCM of 11 and 44 Using Division Method
We’ll divide the numbers (11, 44) by their prime factors to get the LCM of 11 and 44 using the division method (preferably common). The LCM of 11 and 44 is calculated by multiplying these divisors.
|
2 |
11 |
44 |
|
2 |
11 |
22 |
|
11 |
11 |
11 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (11, 44) = 44
LCM of 11 and 44 Using Listing the Multiples
To calculate the LCM of 11 and 44 by listing out the common multiples, list the multiples as shown below
|
Multiples of 11 |
Multiples of 44 |
|
11 |
44 |
|
22 |
88 |
|
33 |
132 |
|
44 |
176 |
|
55 |
220 |
LCM (11, 44) = 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 11 and 44 Solved Examples
Question: The LCM is 44 and GCD is 11 for two numbers. If one number is 11, calculate the other.
Solution:
Consider y as the other number
GCD x LCM = 11 x y
y = (GCD x LCM)/11
y = (11 x 44)/11
y = 44
Hence, the other number is 44.
Frequently Asked Questions on LCM of 11 and 44
Mention the methods used to find the LCM of 11 and 44.
The methods used to find the LCM of 11 and 44 are
Prime Factorisation
Division method
Listing the multiples
Using prime factorisation, find the LCM of 11 and 44.
To find the LCM, the factors must be known
11 = 11¹
44 = 2 x 2 x 11 = 2² x 11¹
LCM is the product of prime factors raised to the highest exponent among 11 and 44.
LCM of 11 and 44 = 44
What is the GCF if the LCM of 11 and 44 is 44?
LCM x GCF = 11 x 44
As the LCM = 44
44 x GCF = 484
GCF = 484/44 = 11
What is the LCM of 11 and 44?
Show the relation between GCF and LCM of 11 and 44.
The relation between GCF and LCM of 11 and 44 is
GCF x LCM = 11 x 44
GCF x LCM = 484
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