LCM of 372 and 379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 372 and 379 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 140988 as output. Here you can check the answer for Find the LCM of 372 and 379.
What is LCM of 372 and 379
Given Numbers are 372, 379
We can find the LCM of 372, 379 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 372 and 379
Multiples of 372 =372,744,1116,1488,1860,2232,2604,2976,3348,3720,4092,4464,4836,5208,5580,5952,6324,
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 372, 379 which is 140988
So, the LCM of 372, 379 is 140988.
Least Common Multiple (LCM) of 372 and 379 with the help of Prime Factorisation
One method for determining the LCM of 372 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 372's prime factorization:
| 2 | 372 |
| 2 | 186 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 372 are 2, 3,31.
372 = 22×31×311
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, 3,31,379
.22×31×311×3791 = 140988
This shows that the LCM of 372 and 379 is 140988.
How to Calculate the LCM of 372 and 379 Using Common Multiples
The first step in determining the Least Common Multiple of 372 and 379 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 372 and 379:
Lets look at the first ten multiples of these numbers, 372 and 379:
372,744,1116,1488,1860,2232,2604,2976,3348,6324 are the first ten multiples of 372.
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 372 and 379, for example, are 4464, 6324, and 6064. 140988 is the least common multiple since it is the smallest.
372 and 379 have an LCM of 140988.
Least Common Multiple of 372 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 372 and 379, than apply into the LCM equation.
GCF(372,379) = 1
LCM(372,379) = ( 372 × 379) / 1
LCM(372,379) = 140988 / 1
LCM(372,379) = 140988
Related Least Common Multiples of 372
Related Least Common Multiples of 379
Frequently Asked Questions on LCM of 372 and 379
1. What is the LCM of 372 and 379?
The LCM of 372 and 379 is 140988.
2. How to find the lowest common multiple of 372 and 379?
To find the lowest common multiple of 372 and 379, we have to get the multip;es of both numbers and identify the least common multiple in them which is 140988.
3. What are the Factors of 372?
Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.
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 372 and 379?Answer:
Least Common Multiple of 372 and 379 = 140988
Step 1: Find the prime factorization of 372
372 = 2 x 2 x 3 x 31
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 = 140988 = 2 x 2 x 3 x 31 x 379
Step 4: Therefore, the least common multiple of 372 and 379 is 140988.