Given Numbers are 379, 383

We can find the LCM of 379, 383 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 379 and 383

Multiples of 379 =379,758,1137,1516,1895,2274,2653,3032,3411,3790,4169,4548,4927,5306,5685,6064,6443,

Multiples of 383 =383,766,1149,1532,1915,2298,2681,3064,3447,3830,4213,4596,4979,5362,5745,6128,6511,

Now, get the least common multiple of 379, 383 which is 145157

So, the LCM of 379, 383 is 145157.

One method for determining the LCM of 379 and 383 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:

Prime factors of 379 are 379.

379 = 379¹

And this is 383's prime factorization:

Prime factors of 383 are 383.

383 = 383¹

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:379,383

379¹×383¹ = 145157

This shows that the LCM of 379 and 383 is 145157.

The first step in determining the Least Common Multiple of 379 and 383 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 379 and 383:

Lets look at the first ten multiples of these numbers, 379 and 383:

379,758,1137,1516,1895,2274,2653,3032,3411,6443 are the first ten multiples of 379.

383,766,1149,1532,1915,2298,2681,3064,3447,6511 are the first ten multiples of 383.

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 383, for example, are 4548, 6443, and 6128. 145157 is the least common multiple since it is the smallest.

379 and 383 have an LCM of 145157.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 379 and 383, than apply into the LCM equation.

GCF(379,383) = 1
LCM(379,383) = ( 379 × 383) / 1
LCM(379,383) = 145157 / 1
LCM(379,383) = 145157

1. What is the LCM of 379 and 383?

The LCM of 379 and 383 is 145157.

2. How to find the lowest common multiple of 379 and 383?

To find the lowest common multiple of 379 and 383, we have to get the multip;es of both numbers and identify the least common multiple in them which is 145157.

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 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

Answer:

Least Common Multiple of 379 and 383 = 145157

Step 1: Find the prime factorization of 379

379 = 379

Step 2: Find the prime factorization of 383

383 = 383

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 145157 = 379 x 383

Step 4: Therefore, the least common multiple of 379 and 383 is 145157.