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LCM of 518, 855, 857, 758, 256

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


Find the LCM of 518, 855, 857, 758, 256 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 518, 855, 857, 758, 256. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,855,857,758,256

Given numbers are 518,855,857,758,256

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

The LCM of 518,855,857,758,256 is 18413056085760.

Find LCM of 518,855,857,758,256 with Prime Factorization


2 518, 855, 857, 758, 256
259, 855, 857, 379, 128

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

2 x 259 x 855 x 857 x 379 x 128 = 18413056085760

Therefore, the lowest common multiple of 518,855,857,758,256 is 18413056085760.

LCM Formula to Find Lowest Common Multiple of 518,855,857,758,256

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.

518 x 855 x 857 x 758 x 256 = 73652224343040

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

857 : 1, 857

758 : 1, 2, 379, 758

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,855,857,758,256, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

855:3x 3x 5x 19

857:857

758:2x 379

256:2x 2x 2x 2x 2x 2x 2x 2

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 73652224343040/(1x4)

LCM = 73652224343040/4

LCM = 18413056085760

Thus, we can understand that the LCM of 518,855,857,758,256 is 18413056085760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 855, 857, 758, 256

1. What is the LCM of 518, 855, 857, 758, 256?

Answer: LCM of 518, 855, 857, 758, 256 is 18413056085760.

2. How to calculate the LCM of 518, 855, 857, 758, 256?

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 518, 855, 857, 758, 256.

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}.