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LCM of 891, 869, 552, 790

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


Find the LCM of 891, 869, 552, 790 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 891, 869, 552, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,869,552,790

Given numbers are 891,869,552,790

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

The LCM of 891,869,552,790 is 64757880.

Find LCM of 891,869,552,790 with Prime Factorization


2 891, 869, 552, 790
3 891, 869, 276, 395
11 297, 869, 92, 395
79 27, 79, 92, 395
27, 1, 92, 5

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

2 x 3 x 11 x 79 x 27 x 1 x 92 x 5 = 64757880

Therefore, the lowest common multiple of 891,869,552,790 is 64757880.

LCM Formula to Find Lowest Common Multiple of 891,869,552,790

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.

891 x 869 x 552 x 790 = 337647586320

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.

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

869 : 1, 11, 79, 869

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,869,552,790, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

869:11x 79

552:2x 2x 2x 3x 23

790:2x 5x 79

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

2x 3x 11x 79 = 5214

Therefore, the value for common factors is 5214.

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 = 337647586320/(1x5214)

LCM = 337647586320/5214

LCM = 64757880

Thus, we can understand that the LCM of 891,869,552,790 is 64757880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 869, 552, 790

1. What is the LCM of 891, 869, 552, 790?

Answer: LCM of 891, 869, 552, 790 is 64757880.

2. How to calculate the LCM of 891, 869, 552, 790?

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 891, 869, 552, 790.

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}.