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LCM of 570, 638, 772, 412, 431

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


Find the LCM of 570, 638, 772, 412, 431 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 570, 638, 772, 412, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,638,772,412,431

Given numbers are 570,638,772,412,431

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

The LCM of 570,638,772,412,431 is 3115783967340.

Find LCM of 570,638,772,412,431 with Prime Factorization


2 570, 638, 772, 412, 431
2 285, 319, 386, 206, 431
285, 319, 193, 103, 431

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

2 x 2 x 285 x 319 x 193 x 103 x 431 = 3115783967340

Therefore, the lowest common multiple of 570,638,772,412,431 is 3115783967340.

LCM Formula to Find Lowest Common Multiple of 570,638,772,412,431

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.

570 x 638 x 772 x 412 x 431 = 49852543477440

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

638 : 1, 2, 11, 22, 29, 58, 319, 638

772 : 1, 2, 4, 193, 386, 772

412 : 1, 2, 4, 103, 206, 412

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,638,772,412,431, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

638:2x 11x 29

772:2x 2x 193

412:2x 2x 103

431:431

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 2 = 16

Therefore, the value for common factors is 16.

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 = 49852543477440/(1x16)

LCM = 49852543477440/16

LCM = 3115783967340

Thus, we can understand that the LCM of 570,638,772,412,431 is 3115783967340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 638, 772, 412, 431

1. What is the LCM of 570, 638, 772, 412, 431?

Answer: LCM of 570, 638, 772, 412, 431 is 3115783967340.

2. How to calculate the LCM of 570, 638, 772, 412, 431?

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 570, 638, 772, 412, 431.

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}.