LCM of 10 and 16 is 80. The evenly divisible number which is the smallest among the multiples of the 10 and 16 indicates the LCM value. By knowing the multiples of each number, the least common multiple of 10 and 16 can be found. (10, 20, 30, 40, 50, 60, ….) and (16, 32, 48, 64, 80, 96,….) are the multiples of 10 and 16. You can know the LCM of 10 and 16 using the prime factorisation method, division method and listing the multiples.
Also read: Least common multiple
What is LCM of 10 and 16?
The answer to this question is 80. The LCM of 10 and 16 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 10 and 16, is the smallest positive integer 80 which is divisible by both 10 and 16 with no remainder.
How to Find LCM of 10 and 16?
LCM of 10 and 16 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 10 and 16 Using Prime Factorisation Method
The prime factorisation of 10 and 16, respectively, is given by:
10 = 2 x 5 = 2¹ x 5¹
16 = 2 x 2 x 2 x 2 = 2⁴
LCM (10, 16) = 80
LCM of 10 and 16 Using Division Method
We’ll divide the numbers (10, 16) by their prime factors to get the LCM of 10 and 16 using the division method (preferably common). The LCM of 10 and 16 is calculated by multiplying these divisors.
|
2 |
10 |
16 |
|
2 |
5 |
8 |
|
2 |
5 |
4 |
|
2 |
5 |
2 |
|
5 |
5 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (10, 16) = 80
LCM of 10 and 16 Using Listing the Multiples
To calculate the LCM of 10 and 16 by listing out the common multiples, list the multiples as shown below
|
Multiples of 10 |
Multiples of 16 |
|
10 |
16 |
|
20 |
32 |
|
30 |
48 |
|
40 |
64 |
|
50 |
80 |
|
60 |
96 |
|
70 |
112 |
|
80 |
128 |
LCM (10, 16) = 80
Related Articles
Video Lesson on Applications of LCM
LCM of 10 and 16 Solved Examples
Question: If the GCD is 2 and the product of two numbers is 160, what is the LCM?
Solution:
It is given that
Product of two numbers = 160
GCD = 2
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 160/2
LCM = 80
Hence, the LCM is 80.
Frequently Asked Questions on LCM of 10 and 16
What is the LCM of 10 and 16?
The LCM of 10 and 16 is 80.
The smallest multiple exactly divisible by 10 and 16 should be calculated.
Multiples of 10 = 10, 20, 30, 40, 50, 60, …
Multiples of 16 = 16, 32, 48, 64, 80, 96, ….
The smallest common multiple exactly divisible by 10 and 16 is 80.
List the methods which can be used to get the LCM value of 10 and 16.
What is the GCF if the LCM of 10 and 16 is 80?
LCM x GCF = 10 x 16
Given
LCM of 10 and 16 = 80
80 x GCF = 160
GCF = 160/80 = 2
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