Given Numbers are 371, 379

We can find the LCM of 371, 379 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 371 and 379

Multiples of 371 =371,742,1113,1484,1855,2226,2597,2968,3339,3710,4081,4452,4823,5194,5565,5936,6307,

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 371, 379 which is 140609

So, the LCM of 371, 379 is 140609.

One method for determining the LCM of 371 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 371's prime factorization:

Prime factors of 371 are 7,53.

371 = 7¹×53¹

And this is 379's prime factorization:

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: 7,53,379

7¹×53¹×379¹ = 140609

This shows that the LCM of 371 and 379 is 140609.

The first step in determining the Least Common Multiple of 371 and 379 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 371 and 379:

Lets look at the first ten multiples of these numbers, 371 and 379:

371,742,1113,1484,1855,2226,2597,2968,3339,6307 are the first ten multiples of 371.

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 371 and 379, for example, are 4452, 6307, and 6064. 140609 is the least common multiple since it is the smallest.

371 and 379 have an LCM of 140609.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 379, than apply into the LCM equation.

GCF(371,379) = 1
LCM(371,379) = ( 371 × 379) / 1
LCM(371,379) = 140609 / 1
LCM(371,379) = 140609

1. What is the LCM of 371 and 379?

The LCM of 371 and 379 is 140609.

2. How to find the lowest common multiple of 371 and 379?

To find the lowest common multiple of 371 and 379, we have to get the multip;es of both numbers and identify the least common multiple in them which is 140609.

3. 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.

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.

Answer:

Least Common Multiple of 371 and 379 = 140609

Step 1: Find the prime factorization of 371

371 = 7 x 53

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 = 140609 = 7 x 53 x 379

Step 4: Therefore, the least common multiple of 371 and 379 is 140609.