LCM of 343 and 348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 343 and 348 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 119364 as output. Here you can check the answer for Find the LCM of 343 and 348.
What is LCM of 343 and 348
Given Numbers are 343, 348
We can find the LCM of 343, 348 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 343 and 348
Multiples of 343 =343,686,1029,1372,1715,2058,2401,2744,3087,3430,3773,4116,4459,4802,5145,5488,5831,
Multiples of 348 =348,696,1044,1392,1740,2088,2436,2784,3132,3480,3828,4176,4524,4872,5220,5568,5916,
Now, get the least common multiple of 343, 348 which is 119364
So, the LCM of 343, 348 is 119364.
Least Common Multiple (LCM) of 343 and 348 with the help of Prime Factorisation
One method for determining the LCM of 343 and 348 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 348's prime factorization:
| 2 | 348 |
| 2 | 174 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 348 are 2, 3,29.
348 = 22×31×291
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, 2, 3,29
.22×31×73×291 = 119364
This shows that the LCM of 343 and 348 is 119364.
How to Calculate the LCM of 343 and 348 Using Common Multiples
The first step in determining the Least Common Multiple of 343 and 348 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 343 and 348:
Lets look at the first ten multiples of these numbers, 343 and 348:
343,686,1029,1372,1715,2058,2401,2744,3087,5831 are the first ten multiples of 343.
348,696,1044,1392,1740,2088,2436,2784,3132,5916 are the first ten multiples of 348.
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 348, for example, are 4116, 5831, and 5568. 119364 is the least common multiple since it is the smallest.
343 and 348 have an LCM of 119364.
Least Common Multiple of 343 and 348 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 348, than apply into the LCM equation.
GCF(343,348) = 1
LCM(343,348) = ( 343 × 348) / 1
LCM(343,348) = 119364 / 1
LCM(343,348) = 119364
Related Least Common Multiples of 343
Related Least Common Multiples of 348
Frequently Asked Questions on LCM of 343 and 348
1. What is the LCM of 343 and 348?
The LCM of 343 and 348 is 119364.
2. How to find the lowest common multiple of 343 and 348?
To find the lowest common multiple of 343 and 348, we have to get the multip;es of both numbers and identify the least common multiple in them which is 119364.
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 348?
Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.
5. How to Find the LCM of 343 and 348?Answer:
Least Common Multiple of 343 and 348 = 119364
Step 1: Find the prime factorization of 343
343 = 7 x 7 x 7
Step 2: Find the prime factorization of 348
348 = 2 x 2 x 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 119364 = 2 x 2 x 3 x 7 x 7 x 7 x 29
Step 4: Therefore, the least common multiple of 343 and 348 is 119364.