LCM of 50 and 48 is 1200. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 50 and 48, 1200 is the first(least or smallest) number that is common in the set of multiples of 50 and 48. The LCM is also known as LCD, Least Common Divisor for 50 and 48 is 1200. You can use the LCM with Examples to understand LCM in detail.
What is LCM of 50 and 48
The Least Common Multiple or Lowest Common Multiple of 50 and 48 is 1200.
How to Find LCM of 50 and 48?
LCM of 50 and 48 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 50 and 48 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 50 and 48 can be expressed as;
50 = 2 x 5 x 5
48 = 2 x 2 x 2 x 2 x 3
LCM (50, 48) = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200
LCM of 50 and 48 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
50 |
48 |
|
3 |
25 |
24 |
|
5 |
25 |
8 |
|
5 |
5 |
8 |
|
2 |
1 |
8 |
|
2 |
1 |
4 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
Therefore, LCM (50, 48) = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200
LCM of 50 and 48 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 50 and 48
Multiples of 50:
50, 100, 150, …., 400, 450, 500, 550, … 750, 800, 850, 900, …, 1100, 1150, 1200, 1250, …
Multiples of 48:
48, 96, 144, …, 384, 432, 480, …., 720, 768, 816, …., 1056,….,1200, 1248, …
LCM (50, 48) = 1200
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 50 and 48?
Answer: 1200 is the smallest number that is divisible by both 50 and 48.
What is the LCM for 25, 50 and 48?
Answer: LCM for 25, 50 and 48 is 1200.
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