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LCM of 530, 812, 638, 321

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


Find the LCM of 530, 812, 638, 321 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 530, 812, 638, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,812,638,321

Given numbers are 530,812,638,321

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

The LCM of 530,812,638,321 is 759800580.

Find LCM of 530,812,638,321 with Prime Factorization


2 530, 812, 638, 321
29 265, 406, 319, 321
265, 14, 11, 321

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

2 x 29 x 265 x 14 x 11 x 321 = 759800580

Therefore, the lowest common multiple of 530,812,638,321 is 759800580.

LCM Formula to Find Lowest Common Multiple of 530,812,638,321

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.

530 x 812 x 638 x 321 = 88136867280

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

638 : 1, 2, 11, 22, 29, 58, 319, 638

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,812,638,321, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

812:2x 2x 7x 29

638:2x 11x 29

321:3x 107

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

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 88136867280/(1x116)

LCM = 88136867280/116

LCM = 759800580

Thus, we can understand that the LCM of 530,812,638,321 is 759800580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 812, 638, 321

1. What is the LCM of 530, 812, 638, 321?

Answer: LCM of 530, 812, 638, 321 is 759800580.

2. How to calculate the LCM of 530, 812, 638, 321?

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 530, 812, 638, 321.

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}.