LCM of 255 and 260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 255 and 260 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13260 as output. Here you can check the answer for Find the LCM of 255 and 260.
What is LCM of 255 and 260
Given Numbers are 255, 260
We can find the LCM of 255, 260 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 255 and 260
Multiples of 255 =255,510,765,1020,1275,1530,1785,2040,2295,2550,2805,3060,3315,3570,3825,4080,4335,
Multiples of 260 =260,520,780,1040,1300,1560,1820,2080,2340,2600,2860,3120,3380,3640,3900,4160,4420,
Now, get the least common multiple of 255, 260 which is 13260
So, the LCM of 255, 260 is 13260.
Least Common Multiple (LCM) of 255 and 260 with the help of Prime Factorisation
One method for determining the LCM of 255 and 260 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 255's prime factorization:
| 3 | 255 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 255 are 3, 5,17.
255 = 31×51×171
And this is 260's prime factorization:
| 2 | 260 |
| 2 | 130 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 260 are 2, 5,13.
260 = 22×51×131
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: 3, 5,17, 2,13
.22×31×51×131×171 = 13260
This shows that the LCM of 255 and 260 is 13260.
How to Calculate the LCM of 255 and 260 Using Common Multiples
The first step in determining the Least Common Multiple of 255 and 260 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 255 and 260:
Lets look at the first ten multiples of these numbers, 255 and 260:
255,510,765,1020,1275,1530,1785,2040,2295,4335 are the first ten multiples of 255.
260,520,780,1040,1300,1560,1820,2080,2340,4420 are the first ten multiples of 260.
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 255 and 260, for example, are 3060, 4335, and 4160. 13260 is the least common multiple since it is the smallest.
255 and 260 have an LCM of 13260.
Least Common Multiple of 255 and 260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 255 and 260, than apply into the LCM equation.
GCF(255,260) = 5
LCM(255,260) = ( 255 × 260) / 5
LCM(255,260) = 66300 / 5
LCM(255,260) = 13260
Related Least Common Multiples of 255
Related Least Common Multiples of 260
Frequently Asked Questions on LCM of 255 and 260
1. What is the LCM of 255 and 260?
The LCM of 255 and 260 is 13260.
2. How to find the lowest common multiple of 255 and 260?
To find the lowest common multiple of 255 and 260, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13260.
3. 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.
4. What are the Factors of 260?
Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.
5. How to Find the LCM of 255 and 260?Answer:
Least Common Multiple of 255 and 260 = 13260
Step 1: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 2: Find the prime factorization of 260
260 = 2 x 2 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13260 = 2 x 2 x 3 x 5 x 13 x 17
Step 4: Therefore, the least common multiple of 255 and 260 is 13260.