LCM of 340 and 344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 340 and 344 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 29240 as output. Here you can check the answer for Find the LCM of 340 and 344.
What is LCM of 340 and 344
Given Numbers are 340, 344
We can find the LCM of 340, 344 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 340 and 344
Multiples of 340 =340,680,1020,1360,1700,2040,2380,2720,3060,3400,3740,4080,4420,4760,5100,5440,5780,
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 340, 344 which is 29240
So, the LCM of 340, 344 is 29240.
Least Common Multiple (LCM) of 340 and 344 with the help of Prime Factorisation
One method for determining the LCM of 340 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 340's prime factorization:
| 2 | 340 |
| 2 | 170 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 340 are 2, 5,17.
340 = 22×51×171
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, 5,17,43
.23×51×171×431 = 29240
This shows that the LCM of 340 and 344 is 29240.
How to Calculate the LCM of 340 and 344 Using Common Multiples
The first step in determining the Least Common Multiple of 340 and 344 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 340 and 344:
Lets look at the first ten multiples of these numbers, 340 and 344:
340,680,1020,1360,1700,2040,2380,2720,3060,5780 are the first ten multiples of 340.
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 340 and 344, for example, are 4080, 5780, and 5504. 29240 is the least common multiple since it is the smallest.
340 and 344 have an LCM of 29240.
Least Common Multiple of 340 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 340 and 344, than apply into the LCM equation.
GCF(340,344) = 4
LCM(340,344) = ( 340 × 344) / 4
LCM(340,344) = 116960 / 4
LCM(340,344) = 29240
Related Least Common Multiples of 340
Related Least Common Multiples of 344
Frequently Asked Questions on LCM of 340 and 344
1. What is the LCM of 340 and 344?
The LCM of 340 and 344 is 29240.
2. How to find the lowest common multiple of 340 and 344?
To find the lowest common multiple of 340 and 344, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29240.
3. What are the Factors of 340?
Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.
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 340 and 344?Answer:
Least Common Multiple of 340 and 344 = 29240
Step 1: Find the prime factorization of 340
340 = 2 x 2 x 5 x 17
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 = 29240 = 2 x 2 x 2 x 5 x 17 x 43
Step 4: Therefore, the least common multiple of 340 and 344 is 29240.