LCM of 308 and 313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 308 and 313 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 96404 as output. Here you can check the answer for Find the LCM of 308 and 313.
What is LCM of 308 and 313
Given Numbers are 308, 313
We can find the LCM of 308, 313 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 308 and 313
Multiples of 308 =308,616,924,1232,1540,1848,2156,2464,2772,3080,3388,3696,4004,4312,4620,4928,5236,
Multiples of 313 =313,626,939,1252,1565,1878,2191,2504,2817,3130,3443,3756,4069,4382,4695,5008,5321,
Now, get the least common multiple of 308, 313 which is 96404
So, the LCM of 308, 313 is 96404.
Least Common Multiple (LCM) of 308 and 313 with the help of Prime Factorisation
One method for determining the LCM of 308 and 313 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 308's prime factorization:
| 2 | 308 |
| 2 | 154 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 308 are 2, 7,11.
308 = 22×71×111
And this is 313's prime factorization:
| 313 | 313 |
| 1 |
Prime factors of 313 are 313.
313 = 3131
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, 7,11,313
.22×71×111×3131 = 96404
This shows that the LCM of 308 and 313 is 96404.
How to Calculate the LCM of 308 and 313 Using Common Multiples
The first step in determining the Least Common Multiple of 308 and 313 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 308 and 313:
Lets look at the first ten multiples of these numbers, 308 and 313:
308,616,924,1232,1540,1848,2156,2464,2772,5236 are the first ten multiples of 308.
313,626,939,1252,1565,1878,2191,2504,2817,5321 are the first ten multiples of 313.
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 308 and 313, for example, are 3696, 5236, and 5008. 96404 is the least common multiple since it is the smallest.
308 and 313 have an LCM of 96404.
Least Common Multiple of 308 and 313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308 and 313, than apply into the LCM equation.
GCF(308,313) = 1
LCM(308,313) = ( 308 × 313) / 1
LCM(308,313) = 96404 / 1
LCM(308,313) = 96404
Related Least Common Multiples of 308
Related Least Common Multiples of 313
Frequently Asked Questions on LCM of 308 and 313
1. What is the LCM of 308 and 313?
The LCM of 308 and 313 is 96404.
2. How to find the lowest common multiple of 308 and 313?
To find the lowest common multiple of 308 and 313, we have to get the multip;es of both numbers and identify the least common multiple in them which is 96404.
3. What are the Factors of 308?
Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.
4. What are the Factors of 313?
Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.
5. How to Find the LCM of 308 and 313?Answer:
Least Common Multiple of 308 and 313 = 96404
Step 1: Find the prime factorization of 308
308 = 2 x 2 x 7 x 11
Step 2: Find the prime factorization of 313
313 = 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96404 = 2 x 2 x 7 x 11 x 313
Step 4: Therefore, the least common multiple of 308 and 313 is 96404.