LCM of 250 and 255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 250 and 255 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 12750 as output. Here you can check the answer for Find the LCM of 250 and 255.
What is LCM of 250 and 255
Given Numbers are 250, 255
We can find the LCM of 250, 255 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 250 and 255
Multiples of 250 =250,500,750,1000,1250,1500,1750,2000,2250,2500,2750,3000,3250,3500,3750,4000,4250,
Multiples of 255 =255,510,765,1020,1275,1530,1785,2040,2295,2550,2805,3060,3315,3570,3825,4080,4335,
Now, get the least common multiple of 250, 255 which is 12750
So, the LCM of 250, 255 is 12750.
Least Common Multiple (LCM) of 250 and 255 with the help of Prime Factorisation
One method for determining the LCM of 250 and 255 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 250's prime factorization:
| 2 | 250 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 250 are 2,5.
250 = 21×53
And this is 255's prime factorization:
| 3 | 255 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 255 are 3, 5,17.
255 = 31×51×171
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, 3,17
.21×31×53×171 = 12750
This shows that the LCM of 250 and 255 is 12750.
How to Calculate the LCM of 250 and 255 Using Common Multiples
The first step in determining the Least Common Multiple of 250 and 255 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 250 and 255:
Lets look at the first ten multiples of these numbers, 250 and 255:
250,500,750,1000,1250,1500,1750,2000,2250,4250 are the first ten multiples of 250.
255,510,765,1020,1275,1530,1785,2040,2295,4335 are the first ten multiples of 255.
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 250 and 255, for example, are 3000, 4250, and 4080. 12750 is the least common multiple since it is the smallest.
250 and 255 have an LCM of 12750.
Least Common Multiple of 250 and 255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 250 and 255, than apply into the LCM equation.
GCF(250,255) = 5
LCM(250,255) = ( 250 × 255) / 5
LCM(250,255) = 63750 / 5
LCM(250,255) = 12750
Related Least Common Multiples of 250
Related Least Common Multiples of 255
Frequently Asked Questions on LCM of 250 and 255
1. What is the LCM of 250 and 255?
The LCM of 250 and 255 is 12750.
2. How to find the lowest common multiple of 250 and 255?
To find the lowest common multiple of 250 and 255, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12750.
3. What are the Factors of 250?
Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.
4. What are the Factors of 255?
Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.
5. How to Find the LCM of 250 and 255?Answer:
Least Common Multiple of 250 and 255 = 12750
Step 1: Find the prime factorization of 250
250 = 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12750 = 2 x 3 x 5 x 5 x 5 x 17
Step 4: Therefore, the least common multiple of 250 and 255 is 12750.