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LCM of 589, 545, 494, 545

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


Find the LCM of 589, 545, 494, 545 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, 545, 494, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,545,494,545

Given numbers are 589,545,494,545

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

The LCM of 589,545,494,545 is 8346130.

Find LCM of 589,545,494,545 with Prime Factorization


5 589, 545, 494, 545
19 589, 109, 494, 109
109 31, 109, 26, 109
31, 1, 26, 1

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

5 x 19 x 109 x 31 x 1 x 26 x 1 = 8346130

Therefore, the lowest common multiple of 589,545,494,545 is 8346130.

LCM Formula to Find Lowest Common Multiple of 589,545,494,545

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 545 x 494 x 545 = 86424176150

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

545 : 1, 5, 109, 545

494 : 1, 2, 13, 19, 26, 38, 247, 494

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,545,494,545, is 1.

Now, the common factors can be found like this.

589:19x 31

545:5x 109

494:2x 13x 19

545:5x 109

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

5x 19x 109 = 10355

Therefore, the value for common factors is 10355.

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 = 86424176150/(1x10355)

LCM = 86424176150/10355

LCM = 8346130

Thus, we can understand that the LCM of 589,545,494,545 is 8346130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 545, 494, 545

1. What is the LCM of 589, 545, 494, 545?

Answer: LCM of 589, 545, 494, 545 is 8346130.

2. How to calculate the LCM of 589, 545, 494, 545?

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, 545, 494, 545.

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}.