LCM of 263 and 268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 263 and 268 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 70484 as output. Here you can check the answer for Find the LCM of 263 and 268.
What is LCM of 263 and 268
Given Numbers are 263, 268
We can find the LCM of 263, 268 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 263 and 268
Multiples of 263 =263,526,789,1052,1315,1578,1841,2104,2367,2630,2893,3156,3419,3682,3945,4208,4471,
Multiples of 268 =268,536,804,1072,1340,1608,1876,2144,2412,2680,2948,3216,3484,3752,4020,4288,4556,
Now, get the least common multiple of 263, 268 which is 70484
So, the LCM of 263, 268 is 70484.
Least Common Multiple (LCM) of 263 and 268 with the help of Prime Factorisation
One method for determining the LCM of 263 and 268 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 263's prime factorization:
| 263 | 263 |
| 1 |
Prime factors of 263 are 263.
263 = 2631
And this is 268's prime factorization:
| 2 | 268 |
| 2 | 134 |
| 67 | 67 |
| 1 |
Prime factors of 268 are 2,67.
268 = 22×671
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:263, 2,67
.22×671×2631 = 70484
This shows that the LCM of 263 and 268 is 70484.
How to Calculate the LCM of 263 and 268 Using Common Multiples
The first step in determining the Least Common Multiple of 263 and 268 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 263 and 268:
Lets look at the first ten multiples of these numbers, 263 and 268:
263,526,789,1052,1315,1578,1841,2104,2367,4471 are the first ten multiples of 263.
268,536,804,1072,1340,1608,1876,2144,2412,4556 are the first ten multiples of 268.
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 263 and 268, for example, are 3156, 4471, and 4288. 70484 is the least common multiple since it is the smallest.
263 and 268 have an LCM of 70484.
Least Common Multiple of 263 and 268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 263 and 268, than apply into the LCM equation.
GCF(263,268) = 1
LCM(263,268) = ( 263 × 268) / 1
LCM(263,268) = 70484 / 1
LCM(263,268) = 70484
Related Least Common Multiples of 263
Related Least Common Multiples of 268
Frequently Asked Questions on LCM of 263 and 268
1. What is the LCM of 263 and 268?
The LCM of 263 and 268 is 70484.
2. How to find the lowest common multiple of 263 and 268?
To find the lowest common multiple of 263 and 268, we have to get the multip;es of both numbers and identify the least common multiple in them which is 70484.
3. 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.
4. What are the Factors of 268?
Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.
5. How to Find the LCM of 263 and 268?Answer:
Least Common Multiple of 263 and 268 = 70484
Step 1: Find the prime factorization of 263
263 = 263
Step 2: Find the prime factorization of 268
268 = 2 x 2 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70484 = 2 x 2 x 67 x 263
Step 4: Therefore, the least common multiple of 263 and 268 is 70484.