LCM of 16 and 80 is 80. Among all common multiples of 16 and 80, the LCM of 16 and 80 is the smallest. (16, 32, 48, 64, 80, etc.) and (80, 160, 240, 320, 400, 480, etc.) respectively are the first few multiples of 16 and 80. Prime factorization, listing multiples, and division are the three most frequent methods for determining the LCM of 16 and 80. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers.
Also read: Least common multiple
What is LCM of 16 and 80?
The answer to this question is 80. The LCM of 16 and 80 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 16 and 80, is the smallest positive integer 80 which is divisible by both 16 and 80 with no remainder.
How to Find LCM of 16 and 80?
LCM of 16 and 80 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16 and 80 Using Prime Factorisation Method
The prime factorisation of 16 and 80, respectively, is given by:
16 = (2 × 2 × 2 × 2) = 24 and
80 = (2 × 2 × 2 × 2 × 5) = 24 × 51
LCM (16, 80) = 80
LCM of 16 and 80 Using Division Method
We’ll divide the numbers (16, 80) by their prime factors to get the LCM of 16 and 80 using the division method (preferably common). The LCM of 16 and 80 is calculated by multiplying these divisors.
| 2 | 16 | 80 |
| 2 | 8 | 40 |
| 2 | 4 | 20 |
| 2 | 2 | 10 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (16, 80) = 80
LCM of 16 and 80 Using Listing the Multiples
To calculate the LCM of 16 and 80 by listing out the common multiples, list the multiples as shown below
| Multiples of 16 | Multiples of 80 |
| 16 | 80 |
| 32 | 160 |
| 48 | 240 |
| 64 | 320 |
| 80 | 400 |
The smallest common multiple of 16 and 80 is 80.
Therefore LCM (16, 80) = 80
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Video Lesson on Applications of LCM
LCM of 16 and 80 Solved Example
The product of two numbers is 1280. If their GCD is 16, what is their LCM?
Solution:
Given: GCD = 16
product of numbers = 1280
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 1280/16
Therefore, the LCM is 80.
The probable combination for the given case is LCM(16, 80) = 80.
Frequently Asked Questions on LCM of 16 and 80
What is the LCM of 16 and 80?
List the methods used to find the LCM of 16 and 80.
If the LCM of 80 and 16 is 80, Find its GCF.
Since the LCM of 80 and 16 = 80
⇒ 80 × GCF(80, 16) = 1280
Therefore, the greatest common factor (GCF) = 1280/80 = 16.
Which of the following is the LCM of 16 and 80? 80, 36, 35, 5
What is the Least Perfect Square Divisible by 16 and 80?
LCM of 16 and 80 = 2 × 2 × 2 × 2 × 5 [Incomplete pair(s): 5] ⇒ Least perfect square divisible by each 16 and 80 = LCM(16, 80) × 5 = 400 [Square root of 400 = √400 = ±20] Therefore, 400 is the required number.
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