LCM of 5 and 22 is 110. In the multiples of 5 and 22, the value divisible evenly gives the LCM. The least common multiple of 5 and 22 is the common multiple of two numbers obtained using multiplication. (5, 10, 15, 20, 25, 30, 35, ….) and (22, 44, 66, 88, 110, ….) are the multiples of 5 and 22. The LCM of two numbers can be found using the listing of multiples, prime factorization and division.
Also read: Least common multiple
What is LCM of 5 and 22?
The answer to this question is 110. The LCM of 5 and 22 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 22, is the smallest positive integer 110 which is divisible by both 5 and 22 with no remainder.
How to Find LCM of 5 and 22?
LCM of 5 and 22 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 22 Using Prime Factorisation Method
The prime factorisation of 5 and 22, respectively, is given by:
5 = 5¹
22 = 2 x 11 = 2¹ x 11¹
LCM (5, 22) = 110
LCM of 5 and 22 Using Division Method
We’ll divide the numbers (5, 22) by their prime factors to get the LCM of 5 and 22 using the division method (preferably common). The LCM of 5 and 22 is calculated by multiplying these divisors.
|
2 |
5 |
22 |
|
5 |
5 |
11 |
|
11 |
1 |
11 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (5, 22) = 110
LCM of 5 and 22 Using Listing the Multiples
To calculate the LCM of 5 and 22 by listing out the common multiples, list the multiples as shown below:
- Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, . . . ., 90, 95, 100, 105, 110, . . . .
- Multiples of 22 = 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, . . . ., 66, 88, 110, . . . .
LCM (5, 22) = 110
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 5 and 22 Solved Examples
Question: If the GCD is 1 and the product of two numbers is 110, find the LCM.
Solution:
Given,
GCD = 1
Product = 110
LCM x GCD = Product
LCM = Product/GCD
LCM = 110/1
LCM = 110
Hence, the LCM of 5 and 22 is 110.
Frequently Asked Questions on LCM of 5 and 22
What are the methods used to find the LCM of 5 and 22?
The methods used to find the LCM of 5 and 22 are:
Prime Factorisation
Division method
Listing the multiples
Using the prime factorisation method, determine the LCM of 5 and 22.
We should first know the factors to determine the LCM
5 = 5¹
22 = 2 x 11 = 2¹ x 11¹
LCM is the product of prime factors raised to the highest exponent among 5 and 22.
LCM of 5 and 22 = 110
Find the GCF if the LCM of 5 and 22 is 110.
LCM x GCF = 5 x 22
As the LCM = 110
110 x GCF = 110
GCF = 110/110 = 1
Show the relation between LCM and GCF of 5 and 22.
The relation between LCM and GCF of 5 and 22 is
GCF x LCM = 5 x 22
GCF x LCM = 110
Comments