LCM of 379 and 385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 379 and 385 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 145915 as output. Here you can check the answer for Find the LCM of 379 and 385.
What is LCM of 379 and 385
Given Numbers are 379, 385
We can find the LCM of 379, 385 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 379 and 385
Multiples of 379 =379,758,1137,1516,1895,2274,2653,3032,3411,3790,4169,4548,4927,5306,5685,6064,6443,
Multiples of 385 =385,770,1155,1540,1925,2310,2695,3080,3465,3850,4235,4620,5005,5390,5775,6160,6545,
Now, get the least common multiple of 379, 385 which is 145915
So, the LCM of 379, 385 is 145915.
Least Common Multiple (LCM) of 379 and 385 with the help of Prime Factorisation
One method for determining the LCM of 379 and 385 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 379's prime factorization:
| 379 | 379 |
| 1 |
Prime factors of 379 are 379.
379 = 3791
And this is 385's prime factorization:
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 385 are 5, 7,11.
385 = 51×71×111
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:379, 5, 7,11
.51×71×111×3791 = 145915
This shows that the LCM of 379 and 385 is 145915.
How to Calculate the LCM of 379 and 385 Using Common Multiples
The first step in determining the Least Common Multiple of 379 and 385 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 379 and 385:
Lets look at the first ten multiples of these numbers, 379 and 385:
379,758,1137,1516,1895,2274,2653,3032,3411,6443 are the first ten multiples of 379.
385,770,1155,1540,1925,2310,2695,3080,3465,6545 are the first ten multiples of 385.
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 379 and 385, for example, are 4548, 6443, and 6160. 145915 is the least common multiple since it is the smallest.
379 and 385 have an LCM of 145915.
Least Common Multiple of 379 and 385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 379 and 385, than apply into the LCM equation.
GCF(379,385) = 1
LCM(379,385) = ( 379 × 385) / 1
LCM(379,385) = 145915 / 1
LCM(379,385) = 145915
Related Least Common Multiples of 379
Related Least Common Multiples of 385
Frequently Asked Questions on LCM of 379 and 385
1. What is the LCM of 379 and 385?
The LCM of 379 and 385 is 145915.
2. How to find the lowest common multiple of 379 and 385?
To find the lowest common multiple of 379 and 385, we have to get the multip;es of both numbers and identify the least common multiple in them which is 145915.
3. What are the Factors of 379?
Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.
4. What are the Factors of 385?
Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.
5. How to Find the LCM of 379 and 385?Answer:
Least Common Multiple of 379 and 385 = 145915
Step 1: Find the prime factorization of 379
379 = 379
Step 2: Find the prime factorization of 385
385 = 5 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 145915 = 5 x 7 x 11 x 379
Step 4: Therefore, the least common multiple of 379 and 385 is 145915.