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 813, 435, 908, 854

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


Find the LCM of 813, 435, 908, 854 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 813, 435, 908, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,435,908,854

Given numbers are 813,435,908,854

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

The LCM of 813,435,908,854 is 45705900660.

Find LCM of 813,435,908,854 with Prime Factorization


2 813, 435, 908, 854
3 813, 435, 454, 427
271, 145, 454, 427

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

2 x 3 x 271 x 145 x 454 x 427 = 45705900660

Therefore, the lowest common multiple of 813,435,908,854 is 45705900660.

LCM Formula to Find Lowest Common Multiple of 813,435,908,854

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.

813 x 435 x 908 x 854 = 274235403960

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.

813 : 1, 3, 271, 813

435 : 1, 3, 5, 15, 29, 87, 145, 435

908 : 1, 2, 4, 227, 454, 908

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,435,908,854, is 1.

Now, the common factors can be found like this.

813:3x 271

435:3x 5x 29

908:2x 2x 227

854:2x 7x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 274235403960/(1x6)

LCM = 274235403960/6

LCM = 45705900660

Thus, we can understand that the LCM of 813,435,908,854 is 45705900660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 435, 908, 854

1. What is the LCM of 813, 435, 908, 854?

Answer: LCM of 813, 435, 908, 854 is 45705900660.

2. How to calculate the LCM of 813, 435, 908, 854?

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 813, 435, 908, 854.

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}.