LCM of 363 and 371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 363 and 371 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 134673 as output. Here you can check the answer for Find the LCM of 363 and 371.
What is LCM of 363 and 371
Given Numbers are 363, 371
We can find the LCM of 363, 371 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 363 and 371
Multiples of 363 =363,726,1089,1452,1815,2178,2541,2904,3267,3630,3993,4356,4719,5082,5445,5808,6171,
Multiples of 371 =371,742,1113,1484,1855,2226,2597,2968,3339,3710,4081,4452,4823,5194,5565,5936,6307,
Now, get the least common multiple of 363, 371 which is 134673
So, the LCM of 363, 371 is 134673.
Least Common Multiple (LCM) of 363 and 371 with the help of Prime Factorisation
One method for determining the LCM of 363 and 371 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 363's prime factorization:
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 363 are 3,11.
363 = 31×112
And this is 371's prime factorization:
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 371 are 7,53.
371 = 71×531
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: 3,11, 7,53
.31×71×112×531 = 134673
This shows that the LCM of 363 and 371 is 134673.
How to Calculate the LCM of 363 and 371 Using Common Multiples
The first step in determining the Least Common Multiple of 363 and 371 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 363 and 371:
Lets look at the first ten multiples of these numbers, 363 and 371:
363,726,1089,1452,1815,2178,2541,2904,3267,6171 are the first ten multiples of 363.
371,742,1113,1484,1855,2226,2597,2968,3339,6307 are the first ten multiples of 371.
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 363 and 371, for example, are 4356, 6171, and 5936. 134673 is the least common multiple since it is the smallest.
363 and 371 have an LCM of 134673.
Least Common Multiple of 363 and 371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 363 and 371, than apply into the LCM equation.
GCF(363,371) = 1
LCM(363,371) = ( 363 × 371) / 1
LCM(363,371) = 134673 / 1
LCM(363,371) = 134673
Related Least Common Multiples of 363
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 363 and 371
1. What is the LCM of 363 and 371?
The LCM of 363 and 371 is 134673.
2. How to find the lowest common multiple of 363 and 371?
To find the lowest common multiple of 363 and 371, we have to get the multip;es of both numbers and identify the least common multiple in them which is 134673.
3. What are the Factors of 363?
Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.
4. What are the Factors of 371?
Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.
5. How to Find the LCM of 363 and 371?Answer:
Least Common Multiple of 363 and 371 = 134673
Step 1: Find the prime factorization of 363
363 = 3 x 11 x 11
Step 2: Find the prime factorization of 371
371 = 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 134673 = 3 x 7 x 11 x 11 x 53
Step 4: Therefore, the least common multiple of 363 and 371 is 134673.