LCM of 268 and 275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 268 and 275 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 73700 as output. Here you can check the answer for Find the LCM of 268 and 275.
What is LCM of 268 and 275
Given Numbers are 268, 275
We can find the LCM of 268, 275 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 268 and 275
Multiples of 268 =268,536,804,1072,1340,1608,1876,2144,2412,2680,2948,3216,3484,3752,4020,4288,4556,
Multiples of 275 =275,550,825,1100,1375,1650,1925,2200,2475,2750,3025,3300,3575,3850,4125,4400,4675,
Now, get the least common multiple of 268, 275 which is 73700
So, the LCM of 268, 275 is 73700.
Least Common Multiple (LCM) of 268 and 275 with the help of Prime Factorisation
One method for determining the LCM of 268 and 275 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 268's prime factorization:
| 2 | 268 |
| 2 | 134 |
| 67 | 67 |
| 1 |
Prime factors of 268 are 2,67.
268 = 22×671
And this is 275's prime factorization:
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 275 are 5,11.
275 = 52×111
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: 2,67, 5,11
.22×52×111×671 = 73700
This shows that the LCM of 268 and 275 is 73700.
How to Calculate the LCM of 268 and 275 Using Common Multiples
The first step in determining the Least Common Multiple of 268 and 275 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 268 and 275:
Lets look at the first ten multiples of these numbers, 268 and 275:
268,536,804,1072,1340,1608,1876,2144,2412,4556 are the first ten multiples of 268.
275,550,825,1100,1375,1650,1925,2200,2475,4675 are the first ten multiples of 275.
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 268 and 275, for example, are 3216, 4556, and 4400. 73700 is the least common multiple since it is the smallest.
268 and 275 have an LCM of 73700.
Least Common Multiple of 268 and 275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 275, than apply into the LCM equation.
GCF(268,275) = 1
LCM(268,275) = ( 268 × 275) / 1
LCM(268,275) = 73700 / 1
LCM(268,275) = 73700
Related Least Common Multiples of 268
Related Least Common Multiples of 275
Frequently Asked Questions on LCM of 268 and 275
1. What is the LCM of 268 and 275?
The LCM of 268 and 275 is 73700.
2. How to find the lowest common multiple of 268 and 275?
To find the lowest common multiple of 268 and 275, we have to get the multip;es of both numbers and identify the least common multiple in them which is 73700.
3. 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.
4. What are the Factors of 275?
Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.
5. How to Find the LCM of 268 and 275?Answer:
Least Common Multiple of 268 and 275 = 73700
Step 1: Find the prime factorization of 268
268 = 2 x 2 x 67
Step 2: Find the prime factorization of 275
275 = 5 x 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 = 73700 = 2 x 2 x 5 x 5 x 11 x 67
Step 4: Therefore, the least common multiple of 268 and 275 is 73700.