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LCM of 869, 891, 764, 384

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


Find the LCM of 869, 891, 764, 384 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 869, 891, 764, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,891,764,384

Given numbers are 869,891,764,384

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

The LCM of 869,891,764,384 is 1720870272.

Find LCM of 869,891,764,384 with Prime Factorization


2 869, 891, 764, 384
2 869, 891, 382, 192
3 869, 891, 191, 96
11 869, 297, 191, 32
79, 27, 191, 32

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

2 x 2 x 3 x 11 x 79 x 27 x 191 x 32 = 1720870272

Therefore, the lowest common multiple of 869,891,764,384 is 1720870272.

LCM Formula to Find Lowest Common Multiple of 869,891,764,384

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.

869 x 891 x 764 x 384 = 227154875904

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.

869 : 1, 11, 79, 869

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

764 : 1, 2, 4, 191, 382, 764

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,891,764,384, is 1.

Now, the common factors can be found like this.

869:11x 79

891:3x 3x 3x 3x 11

764:2x 2x 191

384:2x 2x 2x 2x 2x 2x 2x 3

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 11 = 132

Therefore, the value for common factors is 132.

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 = 227154875904/(1x132)

LCM = 227154875904/132

LCM = 1720870272

Thus, we can understand that the LCM of 869,891,764,384 is 1720870272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 891, 764, 384

1. What is the LCM of 869, 891, 764, 384?

Answer: LCM of 869, 891, 764, 384 is 1720870272.

2. How to calculate the LCM of 869, 891, 764, 384?

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 869, 891, 764, 384.

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}.