LCM of 50 and 55
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 50 and 55 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 550 as output. Here you can check the answer for Find the LCM of 50 and 55.
What is LCM of 50 and 55
Given Numbers are 50, 55
We can find the LCM of 50, 55 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 50 and 55
Multiples of 50 =50,100,150,200,250,300,350,400,450,500,550,600,650,700,750,800,850,
Multiples of 55 =55,110,165,220,275,330,385,440,495,550,605,660,715,770,825,880,935,
Now, get the least common multiple of 50, 55 which is 550
So, the LCM of 50, 55 is 550.
Least Common Multiple (LCM) of 50 and 55 with the help of Prime Factorisation
One method for determining the LCM of 50 and 55 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 50's prime factorization:
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 50 are 2,5.
50 = 21×52
And this is 55's prime factorization:
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 55 are 5,11.
55 = 51×111
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,5,11
.21×52×111 = 550
This shows that the LCM of 50 and 55 is 550.
How to Calculate the LCM of 50 and 55 Using Common Multiples
The first step in determining the Least Common Multiple of 50 and 55 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 50 and 55:
Lets look at the first ten multiples of these numbers, 50 and 55:
50,100,150,200,250,300,350,400,450,850 are the first ten multiples of 50.
55,110,165,220,275,330,385,440,495,935 are the first ten multiples of 55.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 50 and 55, for example, are 600, 850, and 880. 550 is the least common multiple since it is the smallest.
50 and 55 have an LCM of 550.
Least Common Multiple of 50 and 55 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50 and 55, than apply into the LCM equation.
GCF(50,55) = 5
LCM(50,55) = ( 50 × 55) / 5
LCM(50,55) = 2750 / 5
LCM(50,55) = 550
Related Least Common Multiples of 50
Related Least Common Multiples of 55
Frequently Asked Questions on LCM of 50 and 55
1. What is the LCM of 50 and 55?
The LCM of 50 and 55 is 550.
2. How to find the lowest common multiple of 50 and 55?
To find the lowest common multiple of 50 and 55, we have to get the multip;es of both numbers and identify the least common multiple in them which is 550.
3. What are the Factors of 50?
Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.
4. What are the Factors of 55?
Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.
5. How to Find the LCM of 50 and 55?Answer:
Least Common Multiple of 50 and 55 = 550
Step 1: Find the prime factorization of 50
50 = 2 x 5 x 5
Step 2: Find the prime factorization of 55
55 = 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 550 = 2 x 5 x 5 x 11
Step 4: Therefore, the least common multiple of 50 and 55 is 550.