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LCM of 680, 806, 206, 722, 671

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


Find the LCM of 680, 806, 206, 722, 671 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 680, 806, 206, 722, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,806,206,722,671

Given numbers are 680,806,206,722,671

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

The LCM of 680,806,206,722,671 is 6837241273720.

Find LCM of 680,806,206,722,671 with Prime Factorization


2 680, 806, 206, 722, 671
340, 403, 103, 361, 671

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

2 x 340 x 403 x 103 x 361 x 671 = 6837241273720

Therefore, the lowest common multiple of 680,806,206,722,671 is 6837241273720.

LCM Formula to Find Lowest Common Multiple of 680,806,206,722,671

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.

680 x 806 x 206 x 722 x 671 = 54697930189760

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.

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

206 : 1, 2, 103, 206

722 : 1, 2, 19, 38, 361, 722

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,806,206,722,671, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

806:2x 13x 31

206:2x 103

722:2x 19x 19

671:11x 61

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 2 = 8

Therefore, the value for common factors is 8.

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 = 54697930189760/(1x8)

LCM = 54697930189760/8

LCM = 6837241273720

Thus, we can understand that the LCM of 680,806,206,722,671 is 6837241273720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 806, 206, 722, 671

1. What is the LCM of 680, 806, 206, 722, 671?

Answer: LCM of 680, 806, 206, 722, 671 is 6837241273720.

2. How to calculate the LCM of 680, 806, 206, 722, 671?

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 680, 806, 206, 722, 671.

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}.