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LCM of 809, 729, 278, 460

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


Find the LCM of 809, 729, 278, 460 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 809, 729, 278, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,729,278,460

Given numbers are 809,729,278,460

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

The LCM of 809,729,278,460 is 37709318340.

Find LCM of 809,729,278,460 with Prime Factorization


2 809, 729, 278, 460
809, 729, 139, 230

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

2 x 809 x 729 x 139 x 230 = 37709318340

Therefore, the lowest common multiple of 809,729,278,460 is 37709318340.

LCM Formula to Find Lowest Common Multiple of 809,729,278,460

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.

809 x 729 x 278 x 460 = 75418636680

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.

809 : 1, 809

729 : 1, 3, 9, 27, 81, 243, 729

278 : 1, 2, 139, 278

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,729,278,460, is 1.

Now, the common factors can be found like this.

809:809

729:3x 3x 3x 3x 3x 3

278:2x 139

460:2x 2x 5x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 75418636680/(1x2)

LCM = 75418636680/2

LCM = 37709318340

Thus, we can understand that the LCM of 809,729,278,460 is 37709318340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 729, 278, 460

1. What is the LCM of 809, 729, 278, 460?

Answer: LCM of 809, 729, 278, 460 is 37709318340.

2. How to calculate the LCM of 809, 729, 278, 460?

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 809, 729, 278, 460.

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}.