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LCM of 572, 800, 463, 584, 416

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


Find the LCM of 572, 800, 463, 584, 416 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 572, 800, 463, 584, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,800,463,584,416

Given numbers are 572,800,463,584,416

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

The LCM of 572,800,463,584,416 is 3866605600.

Find LCM of 572,800,463,584,416 with Prime Factorization


2 572, 800, 463, 584, 416
2 286, 400, 463, 292, 208
2 143, 200, 463, 146, 104
2 143, 100, 463, 73, 52
2 143, 50, 463, 73, 26
13 143, 25, 463, 73, 13
11, 25, 463, 73, 1

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

2 x 2 x 2 x 2 x 2 x 13 x 11 x 25 x 463 x 73 x 1 = 3866605600

Therefore, the lowest common multiple of 572,800,463,584,416 is 3866605600.

LCM Formula to Find Lowest Common Multiple of 572,800,463,584,416

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.

572 x 800 x 463 x 584 x 416 = 51472253747200

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

463 : 1, 463

584 : 1, 2, 4, 8, 73, 146, 292, 584

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,800,463,584,416, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

800:2x 2x 2x 2x 2x 5x 5

463:463

584:2x 2x 2x 73

416:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 13 = 13312

Therefore, the value for common factors is 13312.

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 = 51472253747200/(1x13312)

LCM = 51472253747200/13312

LCM = 3866605600

Thus, we can understand that the LCM of 572,800,463,584,416 is 3866605600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 800, 463, 584, 416

1. What is the LCM of 572, 800, 463, 584, 416?

Answer: LCM of 572, 800, 463, 584, 416 is 3866605600.

2. How to calculate the LCM of 572, 800, 463, 584, 416?

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 572, 800, 463, 584, 416.

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}.