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LCM of 380, 763, 869, 891

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


Find the LCM of 380, 763, 869, 891 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 380, 763, 869, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,763,869,891

Given numbers are 380,763,869,891

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

The LCM of 380,763,869,891 is 20408586660.

Find LCM of 380,763,869,891 with Prime Factorization


11 380, 763, 869, 891
380, 763, 79, 81

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

11 x 380 x 763 x 79 x 81 = 20408586660

Therefore, the lowest common multiple of 380,763,869,891 is 20408586660.

LCM Formula to Find Lowest Common Multiple of 380,763,869,891

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.

380 x 763 x 869 x 891 = 224494453260

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.

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

763 : 1, 7, 109, 763

869 : 1, 11, 79, 869

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,763,869,891, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

763:7x 109

869:11x 79

891:3x 3x 3x 3x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 224494453260/(1x11)

LCM = 224494453260/11

LCM = 20408586660

Thus, we can understand that the LCM of 380,763,869,891 is 20408586660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 763, 869, 891

1. What is the LCM of 380, 763, 869, 891?

Answer: LCM of 380, 763, 869, 891 is 20408586660.

2. How to calculate the LCM of 380, 763, 869, 891?

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 380, 763, 869, 891.

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}.