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LCM of 454, 394, 682, 805

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


Find the LCM of 454, 394, 682, 805 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 454, 394, 682, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,394,682,805

Given numbers are 454,394,682,805

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

The LCM of 454,394,682,805 is 24551178190.

Find LCM of 454,394,682,805 with Prime Factorization


2 454, 394, 682, 805
227, 197, 341, 805

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

2 x 227 x 197 x 341 x 805 = 24551178190

Therefore, the lowest common multiple of 454,394,682,805 is 24551178190.

LCM Formula to Find Lowest Common Multiple of 454,394,682,805

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.

454 x 394 x 682 x 805 = 98204712760

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.

454 : 1, 2, 227, 454

394 : 1, 2, 197, 394

682 : 1, 2, 11, 22, 31, 62, 341, 682

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,394,682,805, is 1.

Now, the common factors can be found like this.

454:2x 227

394:2x 197

682:2x 11x 31

805:5x 7x 23

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 = 98204712760/(1x4)

LCM = 98204712760/4

LCM = 24551178190

Thus, we can understand that the LCM of 454,394,682,805 is 24551178190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 394, 682, 805

1. What is the LCM of 454, 394, 682, 805?

Answer: LCM of 454, 394, 682, 805 is 24551178190.

2. How to calculate the LCM of 454, 394, 682, 805?

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 454, 394, 682, 805.

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}.