LCM of 48 and 80 is 240. The Least Common Divisor (LCD) also known as Least/Lowest Common Multiple(LCM) is the least positive number that is divisible by the given numbers. In the given set of numbers 48 and 80, 240 is the first(least or smallest) number that is common in the set of multiples of 48 and 80. You can use the Prime Factorization and Division method to find the LCM of numbers.
What is LCM of 48 and 80
The Least Common Multiple or Lowest Common Multiple of 48 and 80 is 240.
How to Find LCM of 48 and 80?
LCM of 48 and 80 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 48 and 80 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 48 and 80 can be expressed as;
48 = 2 × 2 × 2 × 2 × 3
80 = 2 × 2 × 2 × 2 × 5
2 × 2 × 2 × 2 are the common factors of 48 and 80 which is multiplied by 3 and 5 to get the LCM.
LCM (48, 80) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 48 and 80 Using Division Method
In the Division Method, divide 48 and 80 by prime factors. The product of prime divisors of 48 and 80 is the LCM.
|
2 |
48 |
80 |
|
2 |
24 |
40 |
|
2 |
12 |
20 |
|
2 |
6 |
10 |
|
3 |
3 |
5 |
|
5 |
1 |
5 |
|
× |
1 |
1 |
Hence LCM (48, 80) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 48 and 80 Using Listing the Multiples
By listing all the multiples of 48 and 80 the LCM. Below is the list of multiples for 48 and 80
|
Multiples of 48 |
Multiples of 80 |
|
48 |
80 |
|
96 |
160 |
|
144 |
240 |
|
192 |
320 |
|
240 |
400 |
LCM (48, 80) = 240
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 48 and 80?
Answer: 240 is the smallest number that is divisible by both 48 and 80.
What is the LCM for 4, 8, 48 and 80?
Answer: LCM for 4, 8, 48 and 80 is 240 as 4 and 8 are the factors of 48 and 80.
Comments