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LCM of 891, 626, 413, 445, 982

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


Find the LCM of 891, 626, 413, 445, 982 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, 626, 413, 445, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,626,413,445,982

Given numbers are 891,626,413,445,982

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

The LCM of 891,626,413,445,982 is 50331930936210.

Find LCM of 891,626,413,445,982 with Prime Factorization


2 891, 626, 413, 445, 982
891, 313, 413, 445, 491

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

2 x 891 x 313 x 413 x 445 x 491 = 50331930936210

Therefore, the lowest common multiple of 891,626,413,445,982 is 50331930936210.

LCM Formula to Find Lowest Common Multiple of 891,626,413,445,982

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 626 x 413 x 445 x 982 = 100663861872420

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

626 : 1, 2, 313, 626

413 : 1, 7, 59, 413

445 : 1, 5, 89, 445

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,626,413,445,982, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

626:2x 313

413:7x 59

445:5x 89

982:2x 491

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

2 = 2

Therefore, the value for common factors is 2.

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 = 100663861872420/(1x2)

LCM = 100663861872420/2

LCM = 50331930936210

Thus, we can understand that the LCM of 891,626,413,445,982 is 50331930936210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 626, 413, 445, 982

1. What is the LCM of 891, 626, 413, 445, 982?

Answer: LCM of 891, 626, 413, 445, 982 is 50331930936210.

2. How to calculate the LCM of 891, 626, 413, 445, 982?

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, 626, 413, 445, 982.

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}.