Given Numbers are 427, 431

We can find the LCM of 427, 431 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 427 and 431

Multiples of 427 =427,854,1281,1708,2135,2562,2989,3416,3843,4270,4697,5124,5551,5978,6405,6832,7259,

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

Now, get the least common multiple of 427, 431 which is 184037

So, the LCM of 427, 431 is 184037.

One method for determining the LCM of 427 and 431 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 427's prime factorization:

Prime factors of 427 are 7,61.

427 = 7¹×61¹

And this is 431's prime factorization:

Prime factors of 431 are 431.

431 = 431¹

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: 7,61,431

7¹×61¹×431¹ = 184037

This shows that the LCM of 427 and 431 is 184037.

The first step in determining the Least Common Multiple of 427 and 431 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 427 and 431:

Lets look at the first ten multiples of these numbers, 427 and 431:

427,854,1281,1708,2135,2562,2989,3416,3843,7259 are the first ten multiples of 427.

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

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 427 and 431, for example, are 5124, 7259, and 6896. 184037 is the least common multiple since it is the smallest.

427 and 431 have an LCM of 184037.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 427 and 431, than apply into the LCM equation.

GCF(427,431) = 1
LCM(427,431) = ( 427 × 431) / 1
LCM(427,431) = 184037 / 1
LCM(427,431) = 184037

1. What is the LCM of 427 and 431?

The LCM of 427 and 431 is 184037.

2. How to find the lowest common multiple of 427 and 431?

To find the lowest common multiple of 427 and 431, we have to get the multip;es of both numbers and identify the least common multiple in them which is 184037.

3. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. 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.

Answer:

Least Common Multiple of 427 and 431 = 184037

Step 1: Find the prime factorization of 427

427 = 7 x 61

Step 2: Find the prime factorization of 431

431 = 431

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

LCM = 184037 = 7 x 61 x 431

Step 4: Therefore, the least common multiple of 427 and 431 is 184037.