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LCM of 589, 403, 758, 425, 585

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


Find the LCM of 589, 403, 758, 425, 585 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 589, 403, 758, 425, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,403,758,425,585

Given numbers are 589,403,758,425,585

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

The LCM of 589,403,758,425,585 is 22200322950.

Find LCM of 589,403,758,425,585 with Prime Factorization


5 589, 403, 758, 425, 585
13 589, 403, 758, 85, 117
31 589, 31, 758, 85, 9
19, 1, 758, 85, 9

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

5 x 13 x 31 x 19 x 1 x 758 x 85 x 9 = 22200322950

Therefore, the lowest common multiple of 589,403,758,425,585 is 22200322950.

LCM Formula to Find Lowest Common Multiple of 589,403,758,425,585

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.

589 x 403 x 758 x 425 x 585 = 44733650744250

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.

589 : 1, 19, 31, 589

403 : 1, 13, 31, 403

758 : 1, 2, 379, 758

425 : 1, 5, 17, 25, 85, 425

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,403,758,425,585, is 1.

Now, the common factors can be found like this.

589:19x 31

403:13x 31

758:2x 379

425:5x 5x 17

585:3x 3x 5x 13

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

5x 13x 31 = 2015

Therefore, the value for common factors is 2015.

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 = 44733650744250/(1x2015)

LCM = 44733650744250/2015

LCM = 22200322950

Thus, we can understand that the LCM of 589,403,758,425,585 is 22200322950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 403, 758, 425, 585

1. What is the LCM of 589, 403, 758, 425, 585?

Answer: LCM of 589, 403, 758, 425, 585 is 22200322950.

2. How to calculate the LCM of 589, 403, 758, 425, 585?

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 589, 403, 758, 425, 585.

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}.