LCM of 310 and 317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 310 and 317 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 98270 as output. Here you can check the answer for Find the LCM of 310 and 317.
What is LCM of 310 and 317
Given Numbers are 310, 317
We can find the LCM of 310, 317 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 310 and 317
Multiples of 310 =310,620,930,1240,1550,1860,2170,2480,2790,3100,3410,3720,4030,4340,4650,4960,5270,
Multiples of 317 =317,634,951,1268,1585,1902,2219,2536,2853,3170,3487,3804,4121,4438,4755,5072,5389,
Now, get the least common multiple of 310, 317 which is 98270
So, the LCM of 310, 317 is 98270.
Least Common Multiple (LCM) of 310 and 317 with the help of Prime Factorisation
One method for determining the LCM of 310 and 317 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 310's prime factorization:
| 2 | 310 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 310 are 2, 5,31.
310 = 21×51×311
And this is 317's prime factorization:
| 317 | 317 |
| 1 |
Prime factors of 317 are 317.
317 = 3171
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, 5,31,317
.21×51×311×3171 = 98270
This shows that the LCM of 310 and 317 is 98270.
How to Calculate the LCM of 310 and 317 Using Common Multiples
The first step in determining the Least Common Multiple of 310 and 317 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 310 and 317:
Lets look at the first ten multiples of these numbers, 310 and 317:
310,620,930,1240,1550,1860,2170,2480,2790,5270 are the first ten multiples of 310.
317,634,951,1268,1585,1902,2219,2536,2853,5389 are the first ten multiples of 317.
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 310 and 317, for example, are 3720, 5270, and 5072. 98270 is the least common multiple since it is the smallest.
310 and 317 have an LCM of 98270.
Least Common Multiple of 310 and 317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310 and 317, than apply into the LCM equation.
GCF(310,317) = 1
LCM(310,317) = ( 310 × 317) / 1
LCM(310,317) = 98270 / 1
LCM(310,317) = 98270
Related Least Common Multiples of 310
Related Least Common Multiples of 317
Frequently Asked Questions on LCM of 310 and 317
1. What is the LCM of 310 and 317?
The LCM of 310 and 317 is 98270.
2. How to find the lowest common multiple of 310 and 317?
To find the lowest common multiple of 310 and 317, we have to get the multip;es of both numbers and identify the least common multiple in them which is 98270.
3. What are the Factors of 310?
Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.
4. 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.
5. How to Find the LCM of 310 and 317?Answer:
Least Common Multiple of 310 and 317 = 98270
Step 1: Find the prime factorization of 310
310 = 2 x 5 x 31
Step 2: Find the prime factorization of 317
317 = 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98270 = 2 x 5 x 31 x 317
Step 4: Therefore, the least common multiple of 310 and 317 is 98270.