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LCM of 463, 501, 319, 855, 512

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


Find the LCM of 463, 501, 319, 855, 512 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 463, 501, 319, 855, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,501,319,855,512

Given numbers are 463,501,319,855,512

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

The LCM of 463,501,319,855,512 is 10797525066240.

Find LCM of 463,501,319,855,512 with Prime Factorization


3 463, 501, 319, 855, 512
463, 167, 319, 285, 512

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

3 x 463 x 167 x 319 x 285 x 512 = 10797525066240

Therefore, the lowest common multiple of 463,501,319,855,512 is 10797525066240.

LCM Formula to Find Lowest Common Multiple of 463,501,319,855,512

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.

463 x 501 x 319 x 855 x 512 = 32392575198720

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.

463 : 1, 463

501 : 1, 3, 167, 501

319 : 1, 11, 29, 319

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,501,319,855,512, is 1.

Now, the common factors can be found like this.

463:463

501:3x 167

319:11x 29

855:3x 3x 5x 19

512:2x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 32392575198720/(1x3)

LCM = 32392575198720/3

LCM = 10797525066240

Thus, we can understand that the LCM of 463,501,319,855,512 is 10797525066240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 501, 319, 855, 512

1. What is the LCM of 463, 501, 319, 855, 512?

Answer: LCM of 463, 501, 319, 855, 512 is 10797525066240.

2. How to calculate the LCM of 463, 501, 319, 855, 512?

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 463, 501, 319, 855, 512.

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}.