LCM of 5 and 16 is 80. For a clear knowledge of finding the LCM of 5 and 16, reading this article thoroughly will be of great help. The least common multiple of 5 and 16 is the number which is the smallest and evenly divisible by the given two numbers. The multiples of 5 are (5, 10, 15, 20, 25, ….) and the multiples of 16 are (16, 32, 48, 64, ….) respectively. Division, Prime factorisation and listing of the multiples are the most common methods used to determine the LCM.
Also read: Least common multiple
What is LCM of 5 and 16?
The answer to this question is 80. The LCM of 5 and 16 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 16, is the smallest positive integer 80 which is divisible by both 5 and 16 with no remainder.
How to Find LCM of 5 and 16?
LCM of 5 and 16 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 16 Using Prime Factorisation Method
The prime factorisation of 5 and 16, respectively, is given by:
5 = 5¹
16 = 2 × 2 × 2 × 2 = 2⁴
LCM (5, 16) = 80
LCM of 5 and 16 Using Division Method
We’ll divide the numbers (5, 16) by their prime factors to get the LCM of 5 and 16 using the division method (preferably common). The LCM of 5 and 16 is calculated by multiplying these divisors.
|
2 |
5 |
16 |
|
2 |
5 |
8 |
|
2 |
5 |
4 |
|
2 |
5 |
2 |
|
5 |
5 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (5, 16) = 80
LCM of 5 and 16 Using Listing the Multiples
To calculate the LCM of 5 and 16 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, 55, 60, 65, 70, 75, 80, 85, ….
Multiples of 16 = 16, 32, 48, 64, 80, 96, ….
LCM (5, 16) = 80
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LCM of 5 and 16 Solved Examples
Question: The product of two numbers is 80. What is the LCM if the GCD is 1?
Solution:
It is given that
GCD = 1
Product of two numbers = 80
We know that
LCM x GCD = product of two numbers
LCM = product of two numbers/ GCD
LCM = 80/1
LCM = 80
Hence, the LCM is 80.
Frequently Asked Questions on LCM of 5 and 16
What is the LCM of 5 and 16?
If the LCM of 5 and 16 is 80, find the GCF.
LCM × GCF = 5 × 16
Given
LCM of 5 and 16 is 80
80 × GCF = 80
GCF = 80/80 = 1
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