LCM of 343 and 347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 343 and 347 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 119021 as output. Here you can check the answer for Find the LCM of 343 and 347.
What is LCM of 343 and 347
Given Numbers are 343, 347
We can find the LCM of 343, 347 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 343 and 347
Multiples of 343 =343,686,1029,1372,1715,2058,2401,2744,3087,3430,3773,4116,4459,4802,5145,5488,5831,
Multiples of 347 =347,694,1041,1388,1735,2082,2429,2776,3123,3470,3817,4164,4511,4858,5205,5552,5899,
Now, get the least common multiple of 343, 347 which is 119021
So, the LCM of 343, 347 is 119021.
Least Common Multiple (LCM) of 343 and 347 with the help of Prime Factorisation
One method for determining the LCM of 343 and 347 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 343's prime factorization:
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 343 are 7.
343 = 73
And this is 347's prime factorization:
| 347 | 347 |
| 1 |
Prime factors of 347 are 347.
347 = 3471
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:7,347
.73×3471 = 119021
This shows that the LCM of 343 and 347 is 119021.
How to Calculate the LCM of 343 and 347 Using Common Multiples
The first step in determining the Least Common Multiple of 343 and 347 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 343 and 347:
Lets look at the first ten multiples of these numbers, 343 and 347:
343,686,1029,1372,1715,2058,2401,2744,3087,5831 are the first ten multiples of 343.
347,694,1041,1388,1735,2082,2429,2776,3123,5899 are the first ten multiples of 347.
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 343 and 347, for example, are 4116, 5831, and 5552. 119021 is the least common multiple since it is the smallest.
343 and 347 have an LCM of 119021.
Least Common Multiple of 343 and 347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 347, than apply into the LCM equation.
GCF(343,347) = 1
LCM(343,347) = ( 343 × 347) / 1
LCM(343,347) = 119021 / 1
LCM(343,347) = 119021
Related Least Common Multiples of 343
Related Least Common Multiples of 347
Frequently Asked Questions on LCM of 343 and 347
1. What is the LCM of 343 and 347?
The LCM of 343 and 347 is 119021.
2. How to find the lowest common multiple of 343 and 347?
To find the lowest common multiple of 343 and 347, we have to get the multip;es of both numbers and identify the least common multiple in them which is 119021.
3. 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.
4. What are the Factors of 347?
Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.
5. How to Find the LCM of 343 and 347?Answer:
Least Common Multiple of 343 and 347 = 119021
Step 1: Find the prime factorization of 343
343 = 7 x 7 x 7
Step 2: Find the prime factorization of 347
347 = 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 119021 = 7 x 7 x 7 x 347
Step 4: Therefore, the least common multiple of 343 and 347 is 119021.