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LCM of 581, 874, 445, 394, 728

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


Find the LCM of 581, 874, 445, 394, 728 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 581, 874, 445, 394, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,874,445,394,728

Given numbers are 581,874,445,394,728

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

The LCM of 581,874,445,394,728 is 2314819572520.

Find LCM of 581,874,445,394,728 with Prime Factorization


2 581, 874, 445, 394, 728
7 581, 437, 445, 197, 364
83, 437, 445, 197, 52

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

2 x 7 x 83 x 437 x 445 x 197 x 52 = 2314819572520

Therefore, the lowest common multiple of 581,874,445,394,728 is 2314819572520.

LCM Formula to Find Lowest Common Multiple of 581,874,445,394,728

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.

581 x 874 x 445 x 394 x 728 = 64814948030560

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.

581 : 1, 7, 83, 581

874 : 1, 2, 19, 23, 38, 46, 437, 874

445 : 1, 5, 89, 445

394 : 1, 2, 197, 394

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,874,445,394,728, is 1.

Now, the common factors can be found like this.

581:7x 83

874:2x 19x 23

445:5x 89

394:2x 197

728:2x 2x 2x 7x 13

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 7 = 28

Therefore, the value for common factors is 28.

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 = 64814948030560/(1x28)

LCM = 64814948030560/28

LCM = 2314819572520

Thus, we can understand that the LCM of 581,874,445,394,728 is 2314819572520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 581, 874, 445, 394, 728

1. What is the LCM of 581, 874, 445, 394, 728?

Answer: LCM of 581, 874, 445, 394, 728 is 2314819572520.

2. How to calculate the LCM of 581, 874, 445, 394, 728?

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 581, 874, 445, 394, 728.

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}.