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LCM of 586, 107, 814, 529

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


Find the LCM of 586, 107, 814, 529 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 586, 107, 814, 529. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,107,814,529

Given numbers are 586,107,814,529

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

The LCM of 586,107,814,529 is 13499928706.

Find LCM of 586,107,814,529 with Prime Factorization


2 586, 107, 814, 529
293, 107, 407, 529

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

2 x 293 x 107 x 407 x 529 = 13499928706

Therefore, the lowest common multiple of 586,107,814,529 is 13499928706.

LCM Formula to Find Lowest Common Multiple of 586,107,814,529

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.

586 x 107 x 814 x 529 = 26999857412

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.

586 : 1, 2, 293, 586

107 : 1, 107

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

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,107,814,529, is 1.

Now, the common factors can be found like this.

586:2x 293

107:107

814:2x 11x 37

529:23x 23

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 = 26999857412/(1x2)

LCM = 26999857412/2

LCM = 13499928706

Thus, we can understand that the LCM of 586,107,814,529 is 13499928706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 107, 814, 529

1. What is the LCM of 586, 107, 814, 529?

Answer: LCM of 586, 107, 814, 529 is 13499928706.

2. How to calculate the LCM of 586, 107, 814, 529?

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 586, 107, 814, 529.

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}.