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LCM of 208, 557, 784, 476, 563

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


Find the LCM of 208, 557, 784, 476, 563 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 208, 557, 784, 476, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,557,784,476,563

Given numbers are 208,557,784,476,563

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

The LCM of 208,557,784,476,563 is 54334031024.

Find LCM of 208,557,784,476,563 with Prime Factorization


2 208, 557, 784, 476, 563
2 104, 557, 392, 238, 563
2 52, 557, 196, 119, 563
2 26, 557, 98, 119, 563
7 13, 557, 49, 119, 563
13, 557, 7, 17, 563

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

2 x 2 x 2 x 2 x 7 x 13 x 557 x 7 x 17 x 563 = 54334031024

Therefore, the lowest common multiple of 208,557,784,476,563 is 54334031024.

LCM Formula to Find Lowest Common Multiple of 208,557,784,476,563

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.

208 x 557 x 784 x 476 x 563 = 24341645898752

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.

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

557 : 1, 557

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,557,784,476,563, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

557:557

784:2x 2x 2x 2x 7x 7

476:2x 2x 7x 17

563:563

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 7 = 448

Therefore, the value for common factors is 448.

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 = 24341645898752/(1x448)

LCM = 24341645898752/448

LCM = 54334031024

Thus, we can understand that the LCM of 208,557,784,476,563 is 54334031024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 557, 784, 476, 563

1. What is the LCM of 208, 557, 784, 476, 563?

Answer: LCM of 208, 557, 784, 476, 563 is 54334031024.

2. How to calculate the LCM of 208, 557, 784, 476, 563?

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 208, 557, 784, 476, 563.

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}.