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LCM of 609, 394, 884, 831, 461

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


Find the LCM of 609, 394, 884, 831, 461 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 609, 394, 884, 831, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,394,884,831,461

Given numbers are 609,394,884,831,461

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

The LCM of 609,394,884,831,461 is 13543049888004.

Find LCM of 609,394,884,831,461 with Prime Factorization


2 609, 394, 884, 831, 461
3 609, 197, 442, 831, 461
203, 197, 442, 277, 461

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

2 x 3 x 203 x 197 x 442 x 277 x 461 = 13543049888004

Therefore, the lowest common multiple of 609,394,884,831,461 is 13543049888004.

LCM Formula to Find Lowest Common Multiple of 609,394,884,831,461

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.

609 x 394 x 884 x 831 x 461 = 81258299328024

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

394 : 1, 2, 197, 394

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

831 : 1, 3, 277, 831

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,394,884,831,461, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

394:2x 197

884:2x 2x 13x 17

831:3x 277

461:461

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 = 81258299328024/(1x6)

LCM = 81258299328024/6

LCM = 13543049888004

Thus, we can understand that the LCM of 609,394,884,831,461 is 13543049888004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 394, 884, 831, 461

1. What is the LCM of 609, 394, 884, 831, 461?

Answer: LCM of 609, 394, 884, 831, 461 is 13543049888004.

2. How to calculate the LCM of 609, 394, 884, 831, 461?

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 609, 394, 884, 831, 461.

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}.