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LCM of 750, 866, 779, 924, 891

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


Find the LCM of 750, 866, 779, 924, 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 750, 866, 779, 924, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,866,779,924,891

Given numbers are 750,866,779,924,891

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

The LCM of 750,866,779,924,891 is 1051891879500.

Find LCM of 750,866,779,924,891 with Prime Factorization


2 750, 866, 779, 924, 891
3 375, 433, 779, 462, 891
11 125, 433, 779, 154, 297
125, 433, 779, 14, 27

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

2 x 3 x 11 x 125 x 433 x 779 x 14 x 27 = 1051891879500

Therefore, the lowest common multiple of 750,866,779,924,891 is 1051891879500.

LCM Formula to Find Lowest Common Multiple of 750,866,779,924,891

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.

750 x 866 x 779 x 924 x 891 = 416549184282000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

866 : 1, 2, 433, 866

779 : 1, 19, 41, 779

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 750,866,779,924,891, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

866:2x 433

779:19x 41

924:2x 2x 3x 7x 11

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.

2x 2x 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 416549184282000/(1x396)

LCM = 416549184282000/396

LCM = 1051891879500

Thus, we can understand that the LCM of 750,866,779,924,891 is 1051891879500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 866, 779, 924, 891

1. What is the LCM of 750, 866, 779, 924, 891?

Answer: LCM of 750, 866, 779, 924, 891 is 1051891879500.

2. How to calculate the LCM of 750, 866, 779, 924, 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 750, 866, 779, 924, 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}.