LCM of 317 and 325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 317 and 325 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 103025 as output. Here you can check the answer for Find the LCM of 317 and 325.
What is LCM of 317 and 325
Given Numbers are 317, 325
We can find the LCM of 317, 325 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 317 and 325
Multiples of 317 =317,634,951,1268,1585,1902,2219,2536,2853,3170,3487,3804,4121,4438,4755,5072,5389,
Multiples of 325 =325,650,975,1300,1625,1950,2275,2600,2925,3250,3575,3900,4225,4550,4875,5200,5525,
Now, get the least common multiple of 317, 325 which is 103025
So, the LCM of 317, 325 is 103025.
Least Common Multiple (LCM) of 317 and 325 with the help of Prime Factorisation
One method for determining the LCM of 317 and 325 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 317's prime factorization:
| 317 | 317 |
| 1 |
Prime factors of 317 are 317.
317 = 3171
And this is 325's prime factorization:
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13.
325 = 52×131
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:317, 5,13
.52×131×3171 = 103025
This shows that the LCM of 317 and 325 is 103025.
How to Calculate the LCM of 317 and 325 Using Common Multiples
The first step in determining the Least Common Multiple of 317 and 325 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 317 and 325:
Lets look at the first ten multiples of these numbers, 317 and 325:
317,634,951,1268,1585,1902,2219,2536,2853,5389 are the first ten multiples of 317.
325,650,975,1300,1625,1950,2275,2600,2925,5525 are the first ten multiples of 325.
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 317 and 325, for example, are 3804, 5389, and 5200. 103025 is the least common multiple since it is the smallest.
317 and 325 have an LCM of 103025.
Least Common Multiple of 317 and 325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 317 and 325, than apply into the LCM equation.
GCF(317,325) = 1
LCM(317,325) = ( 317 × 325) / 1
LCM(317,325) = 103025 / 1
LCM(317,325) = 103025
Related Least Common Multiples of 317
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 317 and 325
1. What is the LCM of 317 and 325?
The LCM of 317 and 325 is 103025.
2. How to find the lowest common multiple of 317 and 325?
To find the lowest common multiple of 317 and 325, we have to get the multip;es of both numbers and identify the least common multiple in them which is 103025.
3. What are the Factors of 317?
Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.
4. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
5. How to Find the LCM of 317 and 325?Answer:
Least Common Multiple of 317 and 325 = 103025
Step 1: Find the prime factorization of 317
317 = 317
Step 2: Find the prime factorization of 325
325 = 5 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 = 103025 = 5 x 5 x 13 x 317
Step 4: Therefore, the least common multiple of 317 and 325 is 103025.