Given Numbers are 383, 389

We can find the LCM of 383, 389 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 383 and 389

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

Multiples of 389 =389,778,1167,1556,1945,2334,2723,3112,3501,3890,4279,4668,5057,5446,5835,6224,6613,

Now, get the least common multiple of 383, 389 which is 148987

So, the LCM of 383, 389 is 148987.

One method for determining the LCM of 383 and 389 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 383's prime factorization:

Prime factors of 383 are 383.

383 = 383¹

And this is 389's prime factorization:

Prime factors of 389 are 389.

389 = 389¹

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:383,389

383¹×389¹ = 148987

This shows that the LCM of 383 and 389 is 148987.

The first step in determining the Least Common Multiple of 383 and 389 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 383 and 389:

Lets look at the first ten multiples of these numbers, 383 and 389:

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

389,778,1167,1556,1945,2334,2723,3112,3501,6613 are the first ten multiples of 389.

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 383 and 389, for example, are 4596, 6511, and 6224. 148987 is the least common multiple since it is the smallest.

383 and 389 have an LCM of 148987.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 383 and 389, than apply into the LCM equation.

GCF(383,389) = 1
LCM(383,389) = ( 383 × 389) / 1
LCM(383,389) = 148987 / 1
LCM(383,389) = 148987

1. What is the LCM of 383 and 389?

The LCM of 383 and 389 is 148987.

2. How to find the lowest common multiple of 383 and 389?

To find the lowest common multiple of 383 and 389, we have to get the multip;es of both numbers and identify the least common multiple in them which is 148987.

3. 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.

4. What are the Factors of 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

Answer:

Least Common Multiple of 383 and 389 = 148987

Step 1: Find the prime factorization of 383

383 = 383

Step 2: Find the prime factorization of 389

389 = 389

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

LCM = 148987 = 383 x 389

Step 4: Therefore, the least common multiple of 383 and 389 is 148987.