LCM of 347 and 354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 347 and 354 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 122838 as output. Here you can check the answer for Find the LCM of 347 and 354.
What is LCM of 347 and 354
Given Numbers are 347, 354
We can find the LCM of 347, 354 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 347 and 354
Multiples of 347 =347,694,1041,1388,1735,2082,2429,2776,3123,3470,3817,4164,4511,4858,5205,5552,5899,
Multiples of 354 =354,708,1062,1416,1770,2124,2478,2832,3186,3540,3894,4248,4602,4956,5310,5664,6018,
Now, get the least common multiple of 347, 354 which is 122838
So, the LCM of 347, 354 is 122838.
Least Common Multiple (LCM) of 347 and 354 with the help of Prime Factorisation
One method for determining the LCM of 347 and 354 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 347's prime factorization:
| 347 | 347 |
| 1 |
Prime factors of 347 are 347.
347 = 3471
And this is 354's prime factorization:
| 2 | 354 |
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 354 are 2, 3,59.
354 = 21×31×591
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:347, 2, 3,59
.21×31×591×3471 = 122838
This shows that the LCM of 347 and 354 is 122838.
How to Calculate the LCM of 347 and 354 Using Common Multiples
The first step in determining the Least Common Multiple of 347 and 354 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 347 and 354:
Lets look at the first ten multiples of these numbers, 347 and 354:
347,694,1041,1388,1735,2082,2429,2776,3123,5899 are the first ten multiples of 347.
354,708,1062,1416,1770,2124,2478,2832,3186,6018 are the first ten multiples of 354.
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 347 and 354, for example, are 4164, 5899, and 5664. 122838 is the least common multiple since it is the smallest.
347 and 354 have an LCM of 122838.
Least Common Multiple of 347 and 354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 354, than apply into the LCM equation.
GCF(347,354) = 1
LCM(347,354) = ( 347 × 354) / 1
LCM(347,354) = 122838 / 1
LCM(347,354) = 122838
Related Least Common Multiples of 347
Related Least Common Multiples of 354
Frequently Asked Questions on LCM of 347 and 354
1. What is the LCM of 347 and 354?
The LCM of 347 and 354 is 122838.
2. How to find the lowest common multiple of 347 and 354?
To find the lowest common multiple of 347 and 354, we have to get the multip;es of both numbers and identify the least common multiple in them which is 122838.
3. What are the Factors of 347?
Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.
4. What are the Factors of 354?
Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.
5. How to Find the LCM of 347 and 354?Answer:
Least Common Multiple of 347 and 354 = 122838
Step 1: Find the prime factorization of 347
347 = 347
Step 2: Find the prime factorization of 354
354 = 2 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122838 = 2 x 3 x 59 x 347
Step 4: Therefore, the least common multiple of 347 and 354 is 122838.