Given Numbers are 422, 426

We can find the LCM of 422, 426 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 422 and 426

Multiples of 422 =422,844,1266,1688,2110,2532,2954,3376,3798,4220,4642,5064,5486,5908,6330,6752,7174,

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

Now, get the least common multiple of 422, 426 which is 89886

So, the LCM of 422, 426 is 89886.

One method for determining the LCM of 422 and 426 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 422's prime factorization:

Prime factors of 422 are 2,211.

422 = 2¹×211¹

And this is 426's prime factorization:

Prime factors of 426 are 2, 3,71.

426 = 2¹×3¹×71¹

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: 2,211, 3,71

2¹×3¹×71¹×211¹ = 89886

This shows that the LCM of 422 and 426 is 89886.

The first step in determining the Least Common Multiple of 422 and 426 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 422 and 426:

Lets look at the first ten multiples of these numbers, 422 and 426:

422,844,1266,1688,2110,2532,2954,3376,3798,7174 are the first ten multiples of 422.

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

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 422 and 426, for example, are 5064, 7174, and 6816. 89886 is the least common multiple since it is the smallest.

422 and 426 have an LCM of 89886.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 422 and 426, than apply into the LCM equation.

GCF(422,426) = 2
LCM(422,426) = ( 422 × 426) / 2
LCM(422,426) = 179772 / 2
LCM(422,426) = 89886

1. What is the LCM of 422 and 426?

The LCM of 422 and 426 is 89886.

2. How to find the lowest common multiple of 422 and 426?

To find the lowest common multiple of 422 and 426, we have to get the multip;es of both numbers and identify the least common multiple in them which is 89886.

3. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

4. 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.

Answer:

Least Common Multiple of 422 and 426 = 89886

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 426

426 = 2 x 3 x 71

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

LCM = 89886 = 2 x 3 x 71 x 211

Step 4: Therefore, the least common multiple of 422 and 426 is 89886.