LCM of 374 and 379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 374 and 379 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 141746 as output. Here you can check the answer for Find the LCM of 374 and 379.
What is LCM of 374 and 379
Given Numbers are 374, 379
We can find the LCM of 374, 379 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 374 and 379
Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,
Multiples of 379 =379,758,1137,1516,1895,2274,2653,3032,3411,3790,4169,4548,4927,5306,5685,6064,6443,
Now, get the least common multiple of 374, 379 which is 141746
So, the LCM of 374, 379 is 141746.
Least Common Multiple (LCM) of 374 and 379 with the help of Prime Factorisation
One method for determining the LCM of 374 and 379 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 374's prime factorization:
| 2 | 374 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 374 are 2, 11,17.
374 = 21×111×171
And this is 379's prime factorization:
| 379 | 379 |
| 1 |
Prime factors of 379 are 379.
379 = 3791
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: 2, 11,17,379
.21×111×171×3791 = 141746
This shows that the LCM of 374 and 379 is 141746.
How to Calculate the LCM of 374 and 379 Using Common Multiples
The first step in determining the Least Common Multiple of 374 and 379 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 374 and 379:
Lets look at the first ten multiples of these numbers, 374 and 379:
374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.
379,758,1137,1516,1895,2274,2653,3032,3411,6443 are the first ten multiples of 379.
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 374 and 379, for example, are 4488, 6358, and 6064. 141746 is the least common multiple since it is the smallest.
374 and 379 have an LCM of 141746.
Least Common Multiple of 374 and 379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 374 and 379, than apply into the LCM equation.
GCF(374,379) = 1
LCM(374,379) = ( 374 × 379) / 1
LCM(374,379) = 141746 / 1
LCM(374,379) = 141746
Related Least Common Multiples of 374
Related Least Common Multiples of 379
Frequently Asked Questions on LCM of 374 and 379
1. What is the LCM of 374 and 379?
The LCM of 374 and 379 is 141746.
2. How to find the lowest common multiple of 374 and 379?
To find the lowest common multiple of 374 and 379, we have to get the multip;es of both numbers and identify the least common multiple in them which is 141746.
3. What are the Factors of 374?
Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.
4. 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.
5. How to Find the LCM of 374 and 379?Answer:
Least Common Multiple of 374 and 379 = 141746
Step 1: Find the prime factorization of 374
374 = 2 x 11 x 17
Step 2: Find the prime factorization of 379
379 = 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 141746 = 2 x 11 x 17 x 379
Step 4: Therefore, the least common multiple of 374 and 379 is 141746.