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LCM of 813, 710, 737, 591

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


Find the LCM of 813, 710, 737, 591 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 813, 710, 737, 591. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,710,737,591

Given numbers are 813,710,737,591

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

The LCM of 813,710,737,591 is 83807446470.

Find LCM of 813,710,737,591 with Prime Factorization


3 813, 710, 737, 591
271, 710, 737, 197

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

3 x 271 x 710 x 737 x 197 = 83807446470

Therefore, the lowest common multiple of 813,710,737,591 is 83807446470.

LCM Formula to Find Lowest Common Multiple of 813,710,737,591

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.

813 x 710 x 737 x 591 = 251422339410

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.

813 : 1, 3, 271, 813

710 : 1, 2, 5, 10, 71, 142, 355, 710

737 : 1, 11, 67, 737

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,710,737,591, is 1.

Now, the common factors can be found like this.

813:3x 271

710:2x 5x 71

737:11x 67

591:3x 197

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

3 = 3

Therefore, the value for common factors is 3.

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 = 251422339410/(1x3)

LCM = 251422339410/3

LCM = 83807446470

Thus, we can understand that the LCM of 813,710,737,591 is 83807446470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 710, 737, 591

1. What is the LCM of 813, 710, 737, 591?

Answer: LCM of 813, 710, 737, 591 is 83807446470.

2. How to calculate the LCM of 813, 710, 737, 591?

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 813, 710, 737, 591.

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}.