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LCM of 2, 563, 584, 584

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


Find the LCM of 2, 563, 584, 584 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 2, 563, 584, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2,563,584,584

Given numbers are 2,563,584,584

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

The LCM of 2,563,584,584 is 328792.

Find LCM of 2,563,584,584 with Prime Factorization


2 2, 563, 584, 584
2 1, 563, 292, 292
2 1, 563, 146, 146
73 1, 563, 73, 73
1, 563, 1, 1

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

2 x 2 x 2 x 73 x 1 x 563 x 1 x 1 = 328792

Therefore, the lowest common multiple of 2,563,584,584 is 328792.

LCM Formula to Find Lowest Common Multiple of 2,563,584,584

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.

2 x 563 x 584 x 584 = 384029056

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.

2 : 1, 2

563 : 1, 563

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2,563,584,584, is 1.

Now, the common factors can be found like this.

2:2

563:563

584:2x 2x 2x 73

584:2x 2x 2x 73

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 73 = 1168

Therefore, the value for common factors is 1168.

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 = 384029056/(1x1168)

LCM = 384029056/1168

LCM = 328792

Thus, we can understand that the LCM of 2,563,584,584 is 328792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 2, 563, 584, 584

1. What is the LCM of 2, 563, 584, 584?

Answer: LCM of 2, 563, 584, 584 is 328792.

2. How to calculate the LCM of 2, 563, 584, 584?

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 2, 563, 584, 584.

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}.