LCM of 344 and 348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 344 and 348 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 29928 as output. Here you can check the answer for Find the LCM of 344 and 348.
What is LCM of 344 and 348
Given Numbers are 344, 348
We can find the LCM of 344, 348 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 344 and 348
Multiples of 344 =344,688,1032,1376,1720,2064,2408,2752,3096,3440,3784,4128,4472,4816,5160,5504,5848,
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 344, 348 which is 29928
So, the LCM of 344, 348 is 29928.
Least Common Multiple (LCM) of 344 and 348 with the help of Prime Factorisation
One method for determining the LCM of 344 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 344's prime factorization:
| 2 | 344 |
| 2 | 172 |
| 2 | 86 |
| 43 | 43 |
| 1 |
Prime factors of 344 are 2,43.
344 = 23×431
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: 2,43, 3,29
.23×31×291×431 = 29928
This shows that the LCM of 344 and 348 is 29928.
How to Calculate the LCM of 344 and 348 Using Common Multiples
The first step in determining the Least Common Multiple of 344 and 348 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 344 and 348:
Lets look at the first ten multiples of these numbers, 344 and 348:
344,688,1032,1376,1720,2064,2408,2752,3096,5848 are the first ten multiples of 344.
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 344 and 348, for example, are 4128, 5848, and 5568. 29928 is the least common multiple since it is the smallest.
344 and 348 have an LCM of 29928.
Least Common Multiple of 344 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 344 and 348, than apply into the LCM equation.
GCF(344,348) = 4
LCM(344,348) = ( 344 × 348) / 4
LCM(344,348) = 119712 / 4
LCM(344,348) = 29928
Related Least Common Multiples of 344
Related Least Common Multiples of 348
Frequently Asked Questions on LCM of 344 and 348
1. What is the LCM of 344 and 348?
The LCM of 344 and 348 is 29928.
2. How to find the lowest common multiple of 344 and 348?
To find the lowest common multiple of 344 and 348, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29928.
3. What are the Factors of 344?
Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.
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 344 and 348?Answer:
Least Common Multiple of 344 and 348 = 29928
Step 1: Find the prime factorization of 344
344 = 2 x 2 x 2 x 43
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 = 29928 = 2 x 2 x 2 x 3 x 29 x 43
Step 4: Therefore, the least common multiple of 344 and 348 is 29928.