LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 808, 641, 322, 810, 504

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


Find the LCM of 808, 641, 322, 810, 504 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 808, 641, 322, 810, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,641,322,810,504

Given numbers are 808,641,322,810,504

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

The LCM of 808,641,322,810,504 is 33771495240.

Find LCM of 808,641,322,810,504 with Prime Factorization


2 808, 641, 322, 810, 504
2 404, 641, 161, 405, 252
2 202, 641, 161, 405, 126
3 101, 641, 161, 405, 63
3 101, 641, 161, 135, 21
7 101, 641, 161, 45, 7
101, 641, 23, 45, 1

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

2 x 2 x 2 x 3 x 3 x 7 x 101 x 641 x 23 x 45 x 1 = 33771495240

Therefore, the lowest common multiple of 808,641,322,810,504 is 33771495240.

LCM Formula to Find Lowest Common Multiple of 808,641,322,810,504

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.

808 x 641 x 322 x 810 x 504 = 68083334403840

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

641 : 1, 641

322 : 1, 2, 7, 14, 23, 46, 161, 322

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,641,322,810,504, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

641:641

322:2x 7x 23

810:2x 3x 3x 3x 3x 5

504:2x 2x 2x 3x 3x 7

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 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 68083334403840/(1x2016)

LCM = 68083334403840/2016

LCM = 33771495240

Thus, we can understand that the LCM of 808,641,322,810,504 is 33771495240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 641, 322, 810, 504

1. What is the LCM of 808, 641, 322, 810, 504?

Answer: LCM of 808, 641, 322, 810, 504 is 33771495240.

2. How to calculate the LCM of 808, 641, 322, 810, 504?

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 808, 641, 322, 810, 504.

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}.