LCM of 344 and 351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 344 and 351 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 120744 as output. Here you can check the answer for Find the LCM of 344 and 351.
What is LCM of 344 and 351
Given Numbers are 344, 351
We can find the LCM of 344, 351 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 344 and 351
Multiples of 344 =344,688,1032,1376,1720,2064,2408,2752,3096,3440,3784,4128,4472,4816,5160,5504,5848,
Multiples of 351 =351,702,1053,1404,1755,2106,2457,2808,3159,3510,3861,4212,4563,4914,5265,5616,5967,
Now, get the least common multiple of 344, 351 which is 120744
So, the LCM of 344, 351 is 120744.
Least Common Multiple (LCM) of 344 and 351 with the help of Prime Factorisation
One method for determining the LCM of 344 and 351 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 351's prime factorization:
| 3 | 351 |
| 3 | 117 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 351 are 3,13.
351 = 33×131
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, 3,13
.23×33×131×431 = 120744
This shows that the LCM of 344 and 351 is 120744.
How to Calculate the LCM of 344 and 351 Using Common Multiples
The first step in determining the Least Common Multiple of 344 and 351 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 344 and 351:
Lets look at the first ten multiples of these numbers, 344 and 351:
344,688,1032,1376,1720,2064,2408,2752,3096,5848 are the first ten multiples of 344.
351,702,1053,1404,1755,2106,2457,2808,3159,5967 are the first ten multiples of 351.
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 351, for example, are 4128, 5848, and 5616. 120744 is the least common multiple since it is the smallest.
344 and 351 have an LCM of 120744.
Least Common Multiple of 344 and 351 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 351, than apply into the LCM equation.
GCF(344,351) = 1
LCM(344,351) = ( 344 × 351) / 1
LCM(344,351) = 120744 / 1
LCM(344,351) = 120744
Related Least Common Multiples of 344
Related Least Common Multiples of 351
Frequently Asked Questions on LCM of 344 and 351
1. What is the LCM of 344 and 351?
The LCM of 344 and 351 is 120744.
2. How to find the lowest common multiple of 344 and 351?
To find the lowest common multiple of 344 and 351, we have to get the multip;es of both numbers and identify the least common multiple in them which is 120744.
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 351?
Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.
5. How to Find the LCM of 344 and 351?Answer:
Least Common Multiple of 344 and 351 = 120744
Step 1: Find the prime factorization of 344
344 = 2 x 2 x 2 x 43
Step 2: Find the prime factorization of 351
351 = 3 x 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 120744 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 43
Step 4: Therefore, the least common multiple of 344 and 351 is 120744.