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LCM of 813, 380, 165, 704

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


Find the LCM of 813, 380, 165, 704 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, 380, 165, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,380,165,704

Given numbers are 813,380,165,704

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

The LCM of 813,380,165,704 is 54373440.

Find LCM of 813,380,165,704 with Prime Factorization


2 813, 380, 165, 704
2 813, 190, 165, 352
3 813, 95, 165, 176
5 271, 95, 55, 176
11 271, 19, 11, 176
271, 19, 1, 16

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

2 x 2 x 3 x 5 x 11 x 271 x 19 x 1 x 16 = 54373440

Therefore, the lowest common multiple of 813,380,165,704 is 54373440.

LCM Formula to Find Lowest Common Multiple of 813,380,165,704

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 380 x 165 x 704 = 35886470400

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

165 : 1, 3, 5, 11, 15, 33, 55, 165

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,380,165,704, is 1.

Now, the common factors can be found like this.

813:3x 271

380:2x 2x 5x 19

165:3x 5x 11

704:2x 2x 2x 2x 2x 2x 11

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

2x 2x 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 35886470400/(1x660)

LCM = 35886470400/660

LCM = 54373440

Thus, we can understand that the LCM of 813,380,165,704 is 54373440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 380, 165, 704

1. What is the LCM of 813, 380, 165, 704?

Answer: LCM of 813, 380, 165, 704 is 54373440.

2. How to calculate the LCM of 813, 380, 165, 704?

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, 380, 165, 704.

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}.