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LCM of 530, 797, 680, 809, 814

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


Find the LCM of 530, 797, 680, 809, 814 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, 797, 680, 809, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,797,680,809,814

Given numbers are 530,797,680,809,814

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

The LCM of 530,797,680,809,814 is 9457710900440.

Find LCM of 530,797,680,809,814 with Prime Factorization


2 530, 797, 680, 809, 814
5 265, 797, 340, 809, 407
53, 797, 68, 809, 407

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

2 x 5 x 53 x 797 x 68 x 809 x 407 = 9457710900440

Therefore, the lowest common multiple of 530,797,680,809,814 is 9457710900440.

LCM Formula to Find Lowest Common Multiple of 530,797,680,809,814

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 797 x 680 x 809 x 814 = 189154218008800

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

797 : 1, 797

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

809 : 1, 809

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,797,680,809,814, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

797:797

680:2x 2x 2x 5x 17

809:809

814:2x 11x 37

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 5 = 20

Therefore, the value for common factors is 20.

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 = 189154218008800/(1x20)

LCM = 189154218008800/20

LCM = 9457710900440

Thus, we can understand that the LCM of 530,797,680,809,814 is 9457710900440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 797, 680, 809, 814

1. What is the LCM of 530, 797, 680, 809, 814?

Answer: LCM of 530, 797, 680, 809, 814 is 9457710900440.

2. How to calculate the LCM of 530, 797, 680, 809, 814?

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, 797, 680, 809, 814.

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}.