Given Numbers are 431, 439

We can find the LCM of 431, 439 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 431 and 439

Multiples of 431 =431,862,1293,1724,2155,2586,3017,3448,3879,4310,4741,5172,5603,6034,6465,6896,7327,

Multiples of 439 =439,878,1317,1756,2195,2634,3073,3512,3951,4390,4829,5268,5707,6146,6585,7024,7463,

Now, get the least common multiple of 431, 439 which is 189209

So, the LCM of 431, 439 is 189209.

One method for determining the LCM of 431 and 439 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 431's prime factorization:

Prime factors of 431 are 431.

431 = 431¹

And this is 439's prime factorization:

Prime factors of 439 are 439.

439 = 439¹

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:431,439

431¹×439¹ = 189209

This shows that the LCM of 431 and 439 is 189209.

The first step in determining the Least Common Multiple of 431 and 439 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 431 and 439:

Lets look at the first ten multiples of these numbers, 431 and 439:

431,862,1293,1724,2155,2586,3017,3448,3879,7327 are the first ten multiples of 431.

439,878,1317,1756,2195,2634,3073,3512,3951,7463 are the first ten multiples of 439.

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 431 and 439, for example, are 5172, 7327, and 7024. 189209 is the least common multiple since it is the smallest.

431 and 439 have an LCM of 189209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 431 and 439, than apply into the LCM equation.

GCF(431,439) = 1
LCM(431,439) = ( 431 × 439) / 1
LCM(431,439) = 189209 / 1
LCM(431,439) = 189209

1. What is the LCM of 431 and 439?

The LCM of 431 and 439 is 189209.

2. How to find the lowest common multiple of 431 and 439?

To find the lowest common multiple of 431 and 439, we have to get the multip;es of both numbers and identify the least common multiple in them which is 189209.

3. What are the Factors of 431?

Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.

4. What are the Factors of 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

Answer:

Least Common Multiple of 431 and 439 = 189209

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 439

439 = 439

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

LCM = 189209 = 431 x 439

Step 4: Therefore, the least common multiple of 431 and 439 is 189209.