LCM of 341 and 345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 341 and 345 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 117645 as output. Here you can check the answer for Find the LCM of 341 and 345.
What is LCM of 341 and 345
Given Numbers are 341, 345
We can find the LCM of 341, 345 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 341 and 345
Multiples of 341 =341,682,1023,1364,1705,2046,2387,2728,3069,3410,3751,4092,4433,4774,5115,5456,5797,
Multiples of 345 =345,690,1035,1380,1725,2070,2415,2760,3105,3450,3795,4140,4485,4830,5175,5520,5865,
Now, get the least common multiple of 341, 345 which is 117645
So, the LCM of 341, 345 is 117645.
Least Common Multiple (LCM) of 341 and 345 with the help of Prime Factorisation
One method for determining the LCM of 341 and 345 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 345's prime factorization:
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 345 are 3, 5,23.
345 = 31×51×231
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, 3, 5,23
.31×51×111×231×311 = 117645
This shows that the LCM of 341 and 345 is 117645.
How to Calculate the LCM of 341 and 345 Using Common Multiples
The first step in determining the Least Common Multiple of 341 and 345 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 341 and 345:
Lets look at the first ten multiples of these numbers, 341 and 345:
341,682,1023,1364,1705,2046,2387,2728,3069,5797 are the first ten multiples of 341.
345,690,1035,1380,1725,2070,2415,2760,3105,5865 are the first ten multiples of 345.
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 345, for example, are 4092, 5797, and 5520. 117645 is the least common multiple since it is the smallest.
341 and 345 have an LCM of 117645.
Least Common Multiple of 341 and 345 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 345, than apply into the LCM equation.
GCF(341,345) = 1
LCM(341,345) = ( 341 × 345) / 1
LCM(341,345) = 117645 / 1
LCM(341,345) = 117645
Related Least Common Multiples of 341
Related Least Common Multiples of 345
Frequently Asked Questions on LCM of 341 and 345
1. What is the LCM of 341 and 345?
The LCM of 341 and 345 is 117645.
2. How to find the lowest common multiple of 341 and 345?
To find the lowest common multiple of 341 and 345, we have to get the multip;es of both numbers and identify the least common multiple in them which is 117645.
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 345?
Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.
5. How to Find the LCM of 341 and 345?Answer:
Least Common Multiple of 341 and 345 = 117645
Step 1: Find the prime factorization of 341
341 = 11 x 31
Step 2: Find the prime factorization of 345
345 = 3 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117645 = 3 x 5 x 11 x 23 x 31
Step 4: Therefore, the least common multiple of 341 and 345 is 117645.