Given Numbers are 426, 431

We can find the LCM of 426, 431 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 426 and 431

Multiples of 426 =426,852,1278,1704,2130,2556,2982,3408,3834,4260,4686,5112,5538,5964,6390,6816,7242,

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 426, 431 which is 183606

So, the LCM of 426, 431 is 183606.

One method for determining the LCM of 426 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 426's prime factorization:

Prime factors of 426 are 2, 3,71.

426 = 2¹×3¹×71¹

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: 2, 3,71,431

2¹×3¹×71¹×431¹ = 183606

This shows that the LCM of 426 and 431 is 183606.

The first step in determining the Least Common Multiple of 426 and 431 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 426 and 431:

Lets look at the first ten multiples of these numbers, 426 and 431:

426,852,1278,1704,2130,2556,2982,3408,3834,7242 are the first ten multiples of 426.

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 426 and 431, for example, are 5112, 7242, and 6896. 183606 is the least common multiple since it is the smallest.

426 and 431 have an LCM of 183606.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 426 and 431, than apply into the LCM equation.

GCF(426,431) = 1
LCM(426,431) = ( 426 × 431) / 1
LCM(426,431) = 183606 / 1
LCM(426,431) = 183606

1. What is the LCM of 426 and 431?

The LCM of 426 and 431 is 183606.

2. How to find the lowest common multiple of 426 and 431?

To find the lowest common multiple of 426 and 431, we have to get the multip;es of both numbers and identify the least common multiple in them which is 183606.

3. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

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 426 and 431 = 183606

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 183606 = 2 x 3 x 71 x 431

Step 4: Therefore, the least common multiple of 426 and 431 is 183606.