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LCM of 813, 387, 501, 259, 821

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


Find the LCM of 813, 387, 501, 259, 821 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, 387, 501, 259, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,387,501,259,821

Given numbers are 813,387,501,259,821

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

The LCM of 813,387,501,259,821 is 3724257047301.

Find LCM of 813,387,501,259,821 with Prime Factorization


3 813, 387, 501, 259, 821
271, 129, 167, 259, 821

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

3 x 271 x 129 x 167 x 259 x 821 = 3724257047301

Therefore, the lowest common multiple of 813,387,501,259,821 is 3724257047301.

LCM Formula to Find Lowest Common Multiple of 813,387,501,259,821

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 387 x 501 x 259 x 821 = 33518313425709

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

387 : 1, 3, 9, 43, 129, 387

501 : 1, 3, 167, 501

259 : 1, 7, 37, 259

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,387,501,259,821, is 1.

Now, the common factors can be found like this.

813:3x 271

387:3x 3x 43

501:3x 167

259:7x 37

821:821

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 33518313425709/(1x9)

LCM = 33518313425709/9

LCM = 3724257047301

Thus, we can understand that the LCM of 813,387,501,259,821 is 3724257047301.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 387, 501, 259, 821

1. What is the LCM of 813, 387, 501, 259, 821?

Answer: LCM of 813, 387, 501, 259, 821 is 3724257047301.

2. How to calculate the LCM of 813, 387, 501, 259, 821?

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, 387, 501, 259, 821.

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}.