Given Numbers are 422, 427

We can find the LCM of 422, 427 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 422 and 427

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

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

Now, get the least common multiple of 422, 427 which is 180194

So, the LCM of 422, 427 is 180194.

One method for determining the LCM of 422 and 427 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 427's prime factorization:

Prime factors of 427 are 7,61.

427 = 7¹×61¹

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, 7,61

2¹×7¹×61¹×211¹ = 180194

This shows that the LCM of 422 and 427 is 180194.

The first step in determining the Least Common Multiple of 422 and 427 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 422 and 427:

Lets look at the first ten multiples of these numbers, 422 and 427:

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

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

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 427, for example, are 5064, 7174, and 6832. 180194 is the least common multiple since it is the smallest.

422 and 427 have an LCM of 180194.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 422 and 427, than apply into the LCM equation.

GCF(422,427) = 1
LCM(422,427) = ( 422 × 427) / 1
LCM(422,427) = 180194 / 1
LCM(422,427) = 180194

1. What is the LCM of 422 and 427?

The LCM of 422 and 427 is 180194.

2. How to find the lowest common multiple of 422 and 427?

To find the lowest common multiple of 422 and 427, we have to get the multip;es of both numbers and identify the least common multiple in them which is 180194.

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 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.

Answer:

Least Common Multiple of 422 and 427 = 180194

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 180194 = 2 x 7 x 61 x 211

Step 4: Therefore, the least common multiple of 422 and 427 is 180194.