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LCM of 633, 311, 638, 539, 857

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


Find the LCM of 633, 311, 638, 539, 857 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 633, 311, 638, 539, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,311,638,539,857

Given numbers are 633,311,638,539,857

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

The LCM of 633,311,638,539,857 is 5274261757842.

Find LCM of 633,311,638,539,857 with Prime Factorization


11 633, 311, 638, 539, 857
633, 311, 58, 49, 857

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

11 x 633 x 311 x 58 x 49 x 857 = 5274261757842

Therefore, the lowest common multiple of 633,311,638,539,857 is 5274261757842.

LCM Formula to Find Lowest Common Multiple of 633,311,638,539,857

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.

633 x 311 x 638 x 539 x 857 = 58016879336262

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.

633 : 1, 3, 211, 633

311 : 1, 311

638 : 1, 2, 11, 22, 29, 58, 319, 638

539 : 1, 7, 11, 49, 77, 539

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,311,638,539,857, is 1.

Now, the common factors can be found like this.

633:3x 211

311:311

638:2x 11x 29

539:7x 7x 11

857:857

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

11 = 11

Therefore, the value for common factors is 11.

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 = 58016879336262/(1x11)

LCM = 58016879336262/11

LCM = 5274261757842

Thus, we can understand that the LCM of 633,311,638,539,857 is 5274261757842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 311, 638, 539, 857

1. What is the LCM of 633, 311, 638, 539, 857?

Answer: LCM of 633, 311, 638, 539, 857 is 5274261757842.

2. How to calculate the LCM of 633, 311, 638, 539, 857?

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 633, 311, 638, 539, 857.

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}.