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LCM of 631, 214, 428, 873

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 631, 214, 428, 873 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 631, 214, 428, 873. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 631,214,428,873

Given numbers are 631,214,428,873

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 631,214,428,873 is 235769364.

Find LCM of 631,214,428,873 with Prime Factorization


2 631, 214, 428, 873
107 631, 107, 214, 873
631, 1, 2, 873

Multiply the prime numbers at the bottom and the left side.

2 x 107 x 631 x 1 x 2 x 873 = 235769364

Therefore, the lowest common multiple of 631,214,428,873 is 235769364.

LCM Formula to Find Lowest Common Multiple of 631,214,428,873

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

631 x 214 x 428 x 873 = 50454643896

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

631 : 1, 631

214 : 1, 2, 107, 214

428 : 1, 2, 4, 107, 214, 428

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,214,428,873, is 1.

Now, the common factors can be found like this.

631:631

214:2x 107

428:2x 2x 107

873:3x 3x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 50454643896/(1x214)

LCM = 50454643896/214

LCM = 235769364

Thus, we can understand that the LCM of 631,214,428,873 is 235769364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 631, 214, 428, 873

1. What is the LCM of 631, 214, 428, 873?

Answer: LCM of 631, 214, 428, 873 is 235769364.

2. How to calculate the LCM of 631, 214, 428, 873?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 631, 214, 428, 873.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.