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LCM of 798, 560, 826, 993

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


Find the LCM of 798, 560, 826, 993 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 798, 560, 826, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,560,826,993

Given numbers are 798,560,826,993

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

The LCM of 798,560,826,993 is 623365680.

Find LCM of 798,560,826,993 with Prime Factorization


2 798, 560, 826, 993
3 399, 280, 413, 993
7 133, 280, 413, 331
19, 40, 59, 331

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

2 x 3 x 7 x 19 x 40 x 59 x 331 = 623365680

Therefore, the lowest common multiple of 798,560,826,993 is 623365680.

LCM Formula to Find Lowest Common Multiple of 798,560,826,993

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.

798 x 560 x 826 x 993 = 366539019840

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

826 : 1, 2, 7, 14, 59, 118, 413, 826

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,560,826,993, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

560:2x 2x 2x 2x 5x 7

826:2x 7x 59

993:3x 331

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 366539019840/(1x588)

LCM = 366539019840/588

LCM = 623365680

Thus, we can understand that the LCM of 798,560,826,993 is 623365680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 560, 826, 993

1. What is the LCM of 798, 560, 826, 993?

Answer: LCM of 798, 560, 826, 993 is 623365680.

2. How to calculate the LCM of 798, 560, 826, 993?

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 798, 560, 826, 993.

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}.