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LCM of 589, 872, 717, 296, 436

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


Find the LCM of 589, 872, 717, 296, 436 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, 872, 717, 296, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,872,717,296,436

Given numbers are 589,872,717,296,436

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

The LCM of 589,872,717,296,436 is 13625506632.

Find LCM of 589,872,717,296,436 with Prime Factorization


2 589, 872, 717, 296, 436
2 589, 436, 717, 148, 218
2 589, 109, 717, 74, 218
109 589, 109, 717, 37, 109
589, 1, 717, 37, 1

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

2 x 2 x 2 x 109 x 589 x 1 x 717 x 37 x 1 = 13625506632

Therefore, the lowest common multiple of 589,872,717,296,436 is 13625506632.

LCM Formula to Find Lowest Common Multiple of 589,872,717,296,436

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 872 x 717 x 296 x 436 = 47525767132416

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

717 : 1, 3, 239, 717

296 : 1, 2, 4, 8, 37, 74, 148, 296

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,872,717,296,436, is 1.

Now, the common factors can be found like this.

589:19x 31

872:2x 2x 2x 109

717:3x 239

296:2x 2x 2x 37

436:2x 2x 109

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 2x 2x 2x 109 = 3488

Therefore, the value for common factors is 3488.

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 = 47525767132416/(1x3488)

LCM = 47525767132416/3488

LCM = 13625506632

Thus, we can understand that the LCM of 589,872,717,296,436 is 13625506632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 872, 717, 296, 436

1. What is the LCM of 589, 872, 717, 296, 436?

Answer: LCM of 589, 872, 717, 296, 436 is 13625506632.

2. How to calculate the LCM of 589, 872, 717, 296, 436?

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, 872, 717, 296, 436.

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}.