Given Numbers are 431, 438

We can find the LCM of 431, 438 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 431 and 438

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

Multiples of 438 =438,876,1314,1752,2190,2628,3066,3504,3942,4380,4818,5256,5694,6132,6570,7008,7446,

Now, get the least common multiple of 431, 438 which is 188778

So, the LCM of 431, 438 is 188778.

One method for determining the LCM of 431 and 438 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 438's prime factorization:

Prime factors of 438 are 2, 3,73.

438 = 2¹×3¹×73¹

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, 2, 3,73

2¹×3¹×73¹×431¹ = 188778

This shows that the LCM of 431 and 438 is 188778.

The first step in determining the Least Common Multiple of 431 and 438 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 431 and 438:

Lets look at the first ten multiples of these numbers, 431 and 438:

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

438,876,1314,1752,2190,2628,3066,3504,3942,7446 are the first ten multiples of 438.

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 438, for example, are 5172, 7327, and 7008. 188778 is the least common multiple since it is the smallest.

431 and 438 have an LCM of 188778.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 431 and 438, than apply into the LCM equation.

GCF(431,438) = 1
LCM(431,438) = ( 431 × 438) / 1
LCM(431,438) = 188778 / 1
LCM(431,438) = 188778

1. What is the LCM of 431 and 438?

The LCM of 431 and 438 is 188778.

2. How to find the lowest common multiple of 431 and 438?

To find the lowest common multiple of 431 and 438, we have to get the multip;es of both numbers and identify the least common multiple in them which is 188778.

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 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

Answer:

Least Common Multiple of 431 and 438 = 188778

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 438

438 = 2 x 3 x 73

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

LCM = 188778 = 2 x 3 x 73 x 431

Step 4: Therefore, the least common multiple of 431 and 438 is 188778.