LCM of 255 and 263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 255 and 263 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 67065 as output. Here you can check the answer for Find the LCM of 255 and 263.
What is LCM of 255 and 263
Given Numbers are 255, 263
We can find the LCM of 255, 263 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 255 and 263
Multiples of 255 =255,510,765,1020,1275,1530,1785,2040,2295,2550,2805,3060,3315,3570,3825,4080,4335,
Multiples of 263 =263,526,789,1052,1315,1578,1841,2104,2367,2630,2893,3156,3419,3682,3945,4208,4471,
Now, get the least common multiple of 255, 263 which is 67065
So, the LCM of 255, 263 is 67065.
Least Common Multiple (LCM) of 255 and 263 with the help of Prime Factorisation
One method for determining the LCM of 255 and 263 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 263's prime factorization:
| 263 | 263 |
| 1 |
Prime factors of 263 are 263.
263 = 2631
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, 5,17,263
.31×51×171×2631 = 67065
This shows that the LCM of 255 and 263 is 67065.
How to Calculate the LCM of 255 and 263 Using Common Multiples
The first step in determining the Least Common Multiple of 255 and 263 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 255 and 263:
Lets look at the first ten multiples of these numbers, 255 and 263:
255,510,765,1020,1275,1530,1785,2040,2295,4335 are the first ten multiples of 255.
263,526,789,1052,1315,1578,1841,2104,2367,4471 are the first ten multiples of 263.
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 263, for example, are 3060, 4335, and 4208. 67065 is the least common multiple since it is the smallest.
255 and 263 have an LCM of 67065.
Least Common Multiple of 255 and 263 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 263, than apply into the LCM equation.
GCF(255,263) = 1
LCM(255,263) = ( 255 × 263) / 1
LCM(255,263) = 67065 / 1
LCM(255,263) = 67065
Related Least Common Multiples of 255
Related Least Common Multiples of 263
Frequently Asked Questions on LCM of 255 and 263
1. What is the LCM of 255 and 263?
The LCM of 255 and 263 is 67065.
2. How to find the lowest common multiple of 255 and 263?
To find the lowest common multiple of 255 and 263, we have to get the multip;es of both numbers and identify the least common multiple in them which is 67065.
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 263?
Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.
5. How to Find the LCM of 255 and 263?Answer:
Least Common Multiple of 255 and 263 = 67065
Step 1: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 2: Find the prime factorization of 263
263 = 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67065 = 3 x 5 x 17 x 263
Step 4: Therefore, the least common multiple of 255 and 263 is 67065.