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LCM of 584, 589, 814, 876

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


Find the LCM of 584, 589, 814, 876 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 584, 589, 814, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,589,814,876

Given numbers are 584,589,814,876

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

The LCM of 584,589,814,876 is 419994696.

Find LCM of 584,589,814,876 with Prime Factorization


2 584, 589, 814, 876
2 292, 589, 407, 438
73 146, 589, 407, 219
2, 589, 407, 3

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

2 x 2 x 73 x 2 x 589 x 407 x 3 = 419994696

Therefore, the lowest common multiple of 584,589,814,876 is 419994696.

LCM Formula to Find Lowest Common Multiple of 584,589,814,876

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.

584 x 589 x 814 x 876 = 245276902464

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

589 : 1, 19, 31, 589

814 : 1, 2, 11, 22, 37, 74, 407, 814

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,589,814,876, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

589:19x 31

814:2x 11x 37

876:2x 2x 3x 73

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

2x 2x 2x 73 = 584

Therefore, the value for common factors is 584.

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 = 245276902464/(1x584)

LCM = 245276902464/584

LCM = 419994696

Thus, we can understand that the LCM of 584,589,814,876 is 419994696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 589, 814, 876

1. What is the LCM of 584, 589, 814, 876?

Answer: LCM of 584, 589, 814, 876 is 419994696.

2. How to calculate the LCM of 584, 589, 814, 876?

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 584, 589, 814, 876.

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}.