LCM of 341 and 346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 341 and 346 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 117986 as output. Here you can check the answer for Find the LCM of 341 and 346.
What is LCM of 341 and 346
Given Numbers are 341, 346
We can find the LCM of 341, 346 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 341 and 346
Multiples of 341 =341,682,1023,1364,1705,2046,2387,2728,3069,3410,3751,4092,4433,4774,5115,5456,5797,
Multiples of 346 =346,692,1038,1384,1730,2076,2422,2768,3114,3460,3806,4152,4498,4844,5190,5536,5882,
Now, get the least common multiple of 341, 346 which is 117986
So, the LCM of 341, 346 is 117986.
Least Common Multiple (LCM) of 341 and 346 with the help of Prime Factorisation
One method for determining the LCM of 341 and 346 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 341's prime factorization:
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 341 are 11,31.
341 = 111×311
And this is 346's prime factorization:
| 2 | 346 |
| 173 | 173 |
| 1 |
Prime factors of 346 are 2,173.
346 = 21×1731
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: 11,31, 2,173
.21×111×311×1731 = 117986
This shows that the LCM of 341 and 346 is 117986.
How to Calculate the LCM of 341 and 346 Using Common Multiples
The first step in determining the Least Common Multiple of 341 and 346 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 341 and 346:
Lets look at the first ten multiples of these numbers, 341 and 346:
341,682,1023,1364,1705,2046,2387,2728,3069,5797 are the first ten multiples of 341.
346,692,1038,1384,1730,2076,2422,2768,3114,5882 are the first ten multiples of 346.
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 341 and 346, for example, are 4092, 5797, and 5536. 117986 is the least common multiple since it is the smallest.
341 and 346 have an LCM of 117986.
Least Common Multiple of 341 and 346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 346, than apply into the LCM equation.
GCF(341,346) = 1
LCM(341,346) = ( 341 × 346) / 1
LCM(341,346) = 117986 / 1
LCM(341,346) = 117986
Related Least Common Multiples of 341
Related Least Common Multiples of 346
Frequently Asked Questions on LCM of 341 and 346
1. What is the LCM of 341 and 346?
The LCM of 341 and 346 is 117986.
2. How to find the lowest common multiple of 341 and 346?
To find the lowest common multiple of 341 and 346, we have to get the multip;es of both numbers and identify the least common multiple in them which is 117986.
3. What are the Factors of 341?
Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.
4. What are the Factors of 346?
Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.
5. How to Find the LCM of 341 and 346?Answer:
Least Common Multiple of 341 and 346 = 117986
Step 1: Find the prime factorization of 341
341 = 11 x 31
Step 2: Find the prime factorization of 346
346 = 2 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117986 = 2 x 11 x 31 x 173
Step 4: Therefore, the least common multiple of 341 and 346 is 117986.