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LCM of 580, 586, 787, 637

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


Find the LCM of 580, 586, 787, 637 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 580, 586, 787, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,586,787,637

Given numbers are 580,586,787,637

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

The LCM of 580,586,787,637 is 85194150860.

Find LCM of 580,586,787,637 with Prime Factorization


2 580, 586, 787, 637
290, 293, 787, 637

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

2 x 290 x 293 x 787 x 637 = 85194150860

Therefore, the lowest common multiple of 580,586,787,637 is 85194150860.

LCM Formula to Find Lowest Common Multiple of 580,586,787,637

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.

580 x 586 x 787 x 637 = 170388301720

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

586 : 1, 2, 293, 586

787 : 1, 787

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,586,787,637, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

586:2x 293

787:787

637:7x 7x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 170388301720/(1x2)

LCM = 170388301720/2

LCM = 85194150860

Thus, we can understand that the LCM of 580,586,787,637 is 85194150860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 586, 787, 637

1. What is the LCM of 580, 586, 787, 637?

Answer: LCM of 580, 586, 787, 637 is 85194150860.

2. How to calculate the LCM of 580, 586, 787, 637?

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 580, 586, 787, 637.

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}.