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LCM of 559, 728, 491, 879

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


Find the LCM of 559, 728, 491, 879 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 559, 728, 491, 879. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,728,491,879

Given numbers are 559,728,491,879

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

The LCM of 559,728,491,879 is 13510462056.

Find LCM of 559,728,491,879 with Prime Factorization


13 559, 728, 491, 879
43, 56, 491, 879

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

13 x 43 x 56 x 491 x 879 = 13510462056

Therefore, the lowest common multiple of 559,728,491,879 is 13510462056.

LCM Formula to Find Lowest Common Multiple of 559,728,491,879

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.

559 x 728 x 491 x 879 = 175636006728

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.

559 : 1, 13, 43, 559

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

491 : 1, 491

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,728,491,879, is 1.

Now, the common factors can be found like this.

559:13x 43

728:2x 2x 2x 7x 13

491:491

879:3x 293

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

13 = 13

Therefore, the value for common factors is 13.

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 = 175636006728/(1x13)

LCM = 175636006728/13

LCM = 13510462056

Thus, we can understand that the LCM of 559,728,491,879 is 13510462056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 728, 491, 879

1. What is the LCM of 559, 728, 491, 879?

Answer: LCM of 559, 728, 491, 879 is 13510462056.

2. How to calculate the LCM of 559, 728, 491, 879?

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 559, 728, 491, 879.

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}.