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LCM of 813, 209, 795, 663, 748

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


Find the LCM of 813, 209, 795, 663, 748 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, 209, 795, 663, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,209,795,663,748

Given numbers are 813,209,795,663,748

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

The LCM of 813,209,795,663,748 is 39804756420.

Find LCM of 813,209,795,663,748 with Prime Factorization


3 813, 209, 795, 663, 748
11 271, 209, 265, 221, 748
17 271, 19, 265, 221, 68
271, 19, 265, 13, 4

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

3 x 11 x 17 x 271 x 19 x 265 x 13 x 4 = 39804756420

Therefore, the lowest common multiple of 813,209,795,663,748 is 39804756420.

LCM Formula to Find Lowest Common Multiple of 813,209,795,663,748

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 209 x 795 x 663 x 748 = 66991405054860

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

209 : 1, 11, 19, 209

795 : 1, 3, 5, 15, 53, 159, 265, 795

663 : 1, 3, 13, 17, 39, 51, 221, 663

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,209,795,663,748, is 1.

Now, the common factors can be found like this.

813:3x 271

209:11x 19

795:3x 5x 53

663:3x 13x 17

748:2x 2x 11x 17

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

3x 3x 11x 17 = 1683

Therefore, the value for common factors is 1683.

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 = 66991405054860/(1x1683)

LCM = 66991405054860/1683

LCM = 39804756420

Thus, we can understand that the LCM of 813,209,795,663,748 is 39804756420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 209, 795, 663, 748

1. What is the LCM of 813, 209, 795, 663, 748?

Answer: LCM of 813, 209, 795, 663, 748 is 39804756420.

2. How to calculate the LCM of 813, 209, 795, 663, 748?

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, 209, 795, 663, 748.

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}.