LCM of 12 and 80 is 240. LCM, known as Least Common Multiple or Lowest Common Multiple, is the smallest number that is divisible by the given numbers. Consider the example for finding the LCM of 12 and 80. The answer is 240. 240 is divisible by both 12 and 80. Even 480 is divisible by 12 and 80, however it is not the LCM for 12 and 80. The smaller number than 72 is 240 which is divisible by both 12 and 80. Hence 240 is the Least Common Multiple for 12 and 80. You can use the Prime Factorization and Division method to find the LCM.
What is LCM of 12 and 80
The Least Common Multiple or Lowest Common Multiple of 12 and 80 is 240.
How to Find LCM of 12 and 80?
LCM of 12 and 80 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 12 and 80 Using Prime Factorisation Method
In the Prime Factorization method, the given numbers 12 and 80, it is
12 = 2 × 2 × 3
80 = 2 × 2 × 2 × 2 × 5
2 × 2 is the common factor for both 12 and 80, and the other factors are multiplied to get the LCM.
Hence, LCM (12, 80) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 12 and 80 Using Division Method
In the Division Method, the given set of numbers 12 and 80 are divided together by common factors. The division is completed with other factors until the remainders become one. The product of common and uncommon factors of 12 and 80 to get the LCM.
|
2 |
12 |
80 |
|
2 |
6 |
40 |
|
2 |
3 |
20 |
|
2 |
3 |
10 |
|
3 |
3 |
5 |
|
5 |
1 |
5 |
|
× |
1 |
1 |
Hence, LCM (12, 80) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 12 and 80 Using Listing the Multiples
By listing all the multiples of 12 and 80, we can identify the LCM. Below is the list of multiples for 12 and 80;
Multiples of 12
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264
Multiples of 80
80, 160, 240, 320, 400
LCM (12, 18) = 240
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 12 and 80?
Answer: 240 is the smallest number that is divisible by both 12 and 80.
What is the LCM for 2, 4, 12 and 80?
Answer: LCM for 2, 4, 12 and 80 is 240.
Comments