LCM of 313 and 320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 313 and 320 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 100160 as output. Here you can check the answer for Find the LCM of 313 and 320.
What is LCM of 313 and 320
Given Numbers are 313, 320
We can find the LCM of 313, 320 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 313 and 320
Multiples of 313 =313,626,939,1252,1565,1878,2191,2504,2817,3130,3443,3756,4069,4382,4695,5008,5321,
Multiples of 320 =320,640,960,1280,1600,1920,2240,2560,2880,3200,3520,3840,4160,4480,4800,5120,5440,
Now, get the least common multiple of 313, 320 which is 100160
So, the LCM of 313, 320 is 100160.
Least Common Multiple (LCM) of 313 and 320 with the help of Prime Factorisation
One method for determining the LCM of 313 and 320 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 313's prime factorization:
| 313 | 313 |
| 1 |
Prime factors of 313 are 313.
313 = 3131
And this is 320's prime factorization:
| 2 | 320 |
| 2 | 160 |
| 2 | 80 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
Prime factors of 320 are 2,5.
320 = 26×51
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:313, 2,5
.26×51×3131 = 100160
This shows that the LCM of 313 and 320 is 100160.
How to Calculate the LCM of 313 and 320 Using Common Multiples
The first step in determining the Least Common Multiple of 313 and 320 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 313 and 320:
Lets look at the first ten multiples of these numbers, 313 and 320:
313,626,939,1252,1565,1878,2191,2504,2817,5321 are the first ten multiples of 313.
320,640,960,1280,1600,1920,2240,2560,2880,5440 are the first ten multiples of 320.
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 313 and 320, for example, are 3756, 5321, and 5120. 100160 is the least common multiple since it is the smallest.
313 and 320 have an LCM of 100160.
Least Common Multiple of 313 and 320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313 and 320, than apply into the LCM equation.
GCF(313,320) = 1
LCM(313,320) = ( 313 × 320) / 1
LCM(313,320) = 100160 / 1
LCM(313,320) = 100160
Related Least Common Multiples of 313
Related Least Common Multiples of 320
Frequently Asked Questions on LCM of 313 and 320
1. What is the LCM of 313 and 320?
The LCM of 313 and 320 is 100160.
2. How to find the lowest common multiple of 313 and 320?
To find the lowest common multiple of 313 and 320, we have to get the multip;es of both numbers and identify the least common multiple in them which is 100160.
3. 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.
4. What are the Factors of 320?
Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.
5. How to Find the LCM of 313 and 320?Answer:
Least Common Multiple of 313 and 320 = 100160
Step 1: Find the prime factorization of 313
313 = 313
Step 2: Find the prime factorization of 320
320 = 2 x 2 x 2 x 2 x 2 x 2 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 313
Step 4: Therefore, the least common multiple of 313 and 320 is 100160.