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LCM of 886, 374, 843, 561, 722

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


Find the LCM of 886, 374, 843, 561, 722 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 886, 374, 843, 561, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,374,843,561,722

Given numbers are 886,374,843,561,722

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

The LCM of 886,374,843,561,722 is 50420843286.

Find LCM of 886,374,843,561,722 with Prime Factorization


2 886, 374, 843, 561, 722
3 443, 187, 843, 561, 361
11 443, 187, 281, 187, 361
17 443, 17, 281, 17, 361
443, 1, 281, 1, 361

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

2 x 3 x 11 x 17 x 443 x 1 x 281 x 1 x 361 = 50420843286

Therefore, the lowest common multiple of 886,374,843,561,722 is 50420843286.

LCM Formula to Find Lowest Common Multiple of 886,374,843,561,722

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.

886 x 374 x 843 x 561 x 722 = 113144372333784

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.

886 : 1, 2, 443, 886

374 : 1, 2, 11, 17, 22, 34, 187, 374

843 : 1, 3, 281, 843

561 : 1, 3, 11, 17, 33, 51, 187, 561

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,374,843,561,722, is 1.

Now, the common factors can be found like this.

886:2x 443

374:2x 11x 17

843:3x 281

561:3x 11x 17

722:2x 19x 19

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 11x 17 = 2244

Therefore, the value for common factors is 2244.

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 = 113144372333784/(1x2244)

LCM = 113144372333784/2244

LCM = 50420843286

Thus, we can understand that the LCM of 886,374,843,561,722 is 50420843286.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 374, 843, 561, 722

1. What is the LCM of 886, 374, 843, 561, 722?

Answer: LCM of 886, 374, 843, 561, 722 is 50420843286.

2. How to calculate the LCM of 886, 374, 843, 561, 722?

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 886, 374, 843, 561, 722.

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}.