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LCM of 831, 808, 763, 707

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


Find the LCM of 831, 808, 763, 707 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 831, 808, 763, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,808,763,707

Given numbers are 831,808,763,707

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

The LCM of 831,808,763,707 is 512314824.

Find LCM of 831,808,763,707 with Prime Factorization


7 831, 808, 763, 707
101 831, 808, 109, 101
831, 8, 109, 1

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

7 x 101 x 831 x 8 x 109 x 1 = 512314824

Therefore, the lowest common multiple of 831,808,763,707 is 512314824.

LCM Formula to Find Lowest Common Multiple of 831,808,763,707

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.

831 x 808 x 763 x 707 = 362206580568

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.

831 : 1, 3, 277, 831

808 : 1, 2, 4, 8, 101, 202, 404, 808

763 : 1, 7, 109, 763

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,808,763,707, is 1.

Now, the common factors can be found like this.

831:3x 277

808:2x 2x 2x 101

763:7x 109

707:7x 101

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

7x 101 = 707

Therefore, the value for common factors is 707.

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 = 362206580568/(1x707)

LCM = 362206580568/707

LCM = 512314824

Thus, we can understand that the LCM of 831,808,763,707 is 512314824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 808, 763, 707

1. What is the LCM of 831, 808, 763, 707?

Answer: LCM of 831, 808, 763, 707 is 512314824.

2. How to calculate the LCM of 831, 808, 763, 707?

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 831, 808, 763, 707.

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}.