Given Numbers are 417, 422

We can find the LCM of 417, 422 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 417 and 422

Multiples of 417 =417,834,1251,1668,2085,2502,2919,3336,3753,4170,4587,5004,5421,5838,6255,6672,7089,

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

Now, get the least common multiple of 417, 422 which is 175974

So, the LCM of 417, 422 is 175974.

One method for determining the LCM of 417 and 422 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 417's prime factorization:

Prime factors of 417 are 3,139.

417 = 3¹×139¹

And this is 422's prime factorization:

Prime factors of 422 are 2,211.

422 = 2¹×211¹

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: 3,139, 2,211

2¹×3¹×139¹×211¹ = 175974

This shows that the LCM of 417 and 422 is 175974.

The first step in determining the Least Common Multiple of 417 and 422 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 417 and 422:

Lets look at the first ten multiples of these numbers, 417 and 422:

417,834,1251,1668,2085,2502,2919,3336,3753,7089 are the first ten multiples of 417.

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

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 417 and 422, for example, are 5004, 7089, and 6752. 175974 is the least common multiple since it is the smallest.

417 and 422 have an LCM of 175974.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 417 and 422, than apply into the LCM equation.

GCF(417,422) = 1
LCM(417,422) = ( 417 × 422) / 1
LCM(417,422) = 175974 / 1
LCM(417,422) = 175974

1. What is the LCM of 417 and 422?

The LCM of 417 and 422 is 175974.

2. How to find the lowest common multiple of 417 and 422?

To find the lowest common multiple of 417 and 422, we have to get the multip;es of both numbers and identify the least common multiple in them which is 175974.

3. What are the Factors of 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

4. 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.

Answer:

Least Common Multiple of 417 and 422 = 175974

Step 1: Find the prime factorization of 417

417 = 3 x 139

Step 2: Find the prime factorization of 422

422 = 2 x 211

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

LCM = 175974 = 2 x 3 x 139 x 211

Step 4: Therefore, the least common multiple of 417 and 422 is 175974.