LCM of 344 and 350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 344 and 350 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 60200 as output. Here you can check the answer for Find the LCM of 344 and 350.
What is LCM of 344 and 350
Given Numbers are 344, 350
We can find the LCM of 344, 350 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 344 and 350
Multiples of 344 =344,688,1032,1376,1720,2064,2408,2752,3096,3440,3784,4128,4472,4816,5160,5504,5848,
Multiples of 350 =350,700,1050,1400,1750,2100,2450,2800,3150,3500,3850,4200,4550,4900,5250,5600,5950,
Now, get the least common multiple of 344, 350 which is 60200
So, the LCM of 344, 350 is 60200.
Least Common Multiple (LCM) of 344 and 350 with the help of Prime Factorisation
One method for determining the LCM of 344 and 350 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 350's prime factorization:
| 2 | 350 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 350 are 2, 5,7.
350 = 21×52×71
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, 5,7
.23×52×71×431 = 60200
This shows that the LCM of 344 and 350 is 60200.
How to Calculate the LCM of 344 and 350 Using Common Multiples
The first step in determining the Least Common Multiple of 344 and 350 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 344 and 350:
Lets look at the first ten multiples of these numbers, 344 and 350:
344,688,1032,1376,1720,2064,2408,2752,3096,5848 are the first ten multiples of 344.
350,700,1050,1400,1750,2100,2450,2800,3150,5950 are the first ten multiples of 350.
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 350, for example, are 4128, 5848, and 5600. 60200 is the least common multiple since it is the smallest.
344 and 350 have an LCM of 60200.
Least Common Multiple of 344 and 350 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 350, than apply into the LCM equation.
GCF(344,350) = 2
LCM(344,350) = ( 344 × 350) / 2
LCM(344,350) = 120400 / 2
LCM(344,350) = 60200
Related Least Common Multiples of 344
Related Least Common Multiples of 350
Frequently Asked Questions on LCM of 344 and 350
1. What is the LCM of 344 and 350?
The LCM of 344 and 350 is 60200.
2. How to find the lowest common multiple of 344 and 350?
To find the lowest common multiple of 344 and 350, we have to get the multip;es of both numbers and identify the least common multiple in them which is 60200.
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 350?
Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.
5. How to Find the LCM of 344 and 350?Answer:
Least Common Multiple of 344 and 350 = 60200
Step 1: Find the prime factorization of 344
344 = 2 x 2 x 2 x 43
Step 2: Find the prime factorization of 350
350 = 2 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60200 = 2 x 2 x 2 x 5 x 5 x 7 x 43
Step 4: Therefore, the least common multiple of 344 and 350 is 60200.