LCM of 339 and 343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 339 and 343 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 116277 as output. Here you can check the answer for Find the LCM of 339 and 343.
What is LCM of 339 and 343
Given Numbers are 339, 343
We can find the LCM of 339, 343 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 339 and 343
Multiples of 339 =339,678,1017,1356,1695,2034,2373,2712,3051,3390,3729,4068,4407,4746,5085,5424,5763,
Multiples of 343 =343,686,1029,1372,1715,2058,2401,2744,3087,3430,3773,4116,4459,4802,5145,5488,5831,
Now, get the least common multiple of 339, 343 which is 116277
So, the LCM of 339, 343 is 116277.
Least Common Multiple (LCM) of 339 and 343 with the help of Prime Factorisation
One method for determining the LCM of 339 and 343 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 339's prime factorization:
| 3 | 339 |
| 113 | 113 |
| 1 |
Prime factors of 339 are 3,113.
339 = 31×1131
And this is 343's prime factorization:
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 343 are 7.
343 = 73
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: 3,113,7
.31×73×1131 = 116277
This shows that the LCM of 339 and 343 is 116277.
How to Calculate the LCM of 339 and 343 Using Common Multiples
The first step in determining the Least Common Multiple of 339 and 343 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 339 and 343:
Lets look at the first ten multiples of these numbers, 339 and 343:
339,678,1017,1356,1695,2034,2373,2712,3051,5763 are the first ten multiples of 339.
343,686,1029,1372,1715,2058,2401,2744,3087,5831 are the first ten multiples of 343.
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 339 and 343, for example, are 4068, 5763, and 5488. 116277 is the least common multiple since it is the smallest.
339 and 343 have an LCM of 116277.
Least Common Multiple of 339 and 343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 339 and 343, than apply into the LCM equation.
GCF(339,343) = 1
LCM(339,343) = ( 339 × 343) / 1
LCM(339,343) = 116277 / 1
LCM(339,343) = 116277
Related Least Common Multiples of 339
Related Least Common Multiples of 343
Frequently Asked Questions on LCM of 339 and 343
1. What is the LCM of 339 and 343?
The LCM of 339 and 343 is 116277.
2. How to find the lowest common multiple of 339 and 343?
To find the lowest common multiple of 339 and 343, we have to get the multip;es of both numbers and identify the least common multiple in them which is 116277.
3. What are the Factors of 339?
Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.
4. What are the Factors of 343?
Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.
5. How to Find the LCM of 339 and 343?Answer:
Least Common Multiple of 339 and 343 = 116277
Step 1: Find the prime factorization of 339
339 = 3 x 113
Step 2: Find the prime factorization of 343
343 = 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 116277 = 3 x 7 x 7 x 7 x 113
Step 4: Therefore, the least common multiple of 339 and 343 is 116277.