LCM of 338 and 344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 338 and 344 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 58136 as output. Here you can check the answer for Find the LCM of 338 and 344.
What is LCM of 338 and 344
Given Numbers are 338, 344
We can find the LCM of 338, 344 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 338 and 344
Multiples of 338 =338,676,1014,1352,1690,2028,2366,2704,3042,3380,3718,4056,4394,4732,5070,5408,5746,
Multiples of 344 =344,688,1032,1376,1720,2064,2408,2752,3096,3440,3784,4128,4472,4816,5160,5504,5848,
Now, get the least common multiple of 338, 344 which is 58136
So, the LCM of 338, 344 is 58136.
Least Common Multiple (LCM) of 338 and 344 with the help of Prime Factorisation
One method for determining the LCM of 338 and 344 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 338's prime factorization:
| 2 | 338 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 338 are 2,13.
338 = 21×132
And this is 344's prime factorization:
| 2 | 344 |
| 2 | 172 |
| 2 | 86 |
| 43 | 43 |
| 1 |
Prime factors of 344 are 2,43.
344 = 23×431
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: 2,13,43
.23×132×431 = 58136
This shows that the LCM of 338 and 344 is 58136.
How to Calculate the LCM of 338 and 344 Using Common Multiples
The first step in determining the Least Common Multiple of 338 and 344 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 338 and 344:
Lets look at the first ten multiples of these numbers, 338 and 344:
338,676,1014,1352,1690,2028,2366,2704,3042,5746 are the first ten multiples of 338.
344,688,1032,1376,1720,2064,2408,2752,3096,5848 are the first ten multiples of 344.
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 338 and 344, for example, are 4056, 5746, and 5504. 58136 is the least common multiple since it is the smallest.
338 and 344 have an LCM of 58136.
Least Common Multiple of 338 and 344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 338 and 344, than apply into the LCM equation.
GCF(338,344) = 2
LCM(338,344) = ( 338 × 344) / 2
LCM(338,344) = 116272 / 2
LCM(338,344) = 58136
Related Least Common Multiples of 338
Related Least Common Multiples of 344
Frequently Asked Questions on LCM of 338 and 344
1. What is the LCM of 338 and 344?
The LCM of 338 and 344 is 58136.
2. How to find the lowest common multiple of 338 and 344?
To find the lowest common multiple of 338 and 344, we have to get the multip;es of both numbers and identify the least common multiple in them which is 58136.
3. What are the Factors of 338?
Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.
4. 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.
5. How to Find the LCM of 338 and 344?Answer:
Least Common Multiple of 338 and 344 = 58136
Step 1: Find the prime factorization of 338
338 = 2 x 13 x 13
Step 2: Find the prime factorization of 344
344 = 2 x 2 x 2 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58136 = 2 x 2 x 2 x 13 x 13 x 43
Step 4: Therefore, the least common multiple of 338 and 344 is 58136.