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LCM of 727, 312, 584, 589

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


Find the LCM of 727, 312, 584, 589 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 727, 312, 584, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,312,584,589

Given numbers are 727,312,584,589

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

The LCM of 727,312,584,589 is 9752751528.

Find LCM of 727,312,584,589 with Prime Factorization


2 727, 312, 584, 589
2 727, 156, 292, 589
2 727, 78, 146, 589
727, 39, 73, 589

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

2 x 2 x 2 x 727 x 39 x 73 x 589 = 9752751528

Therefore, the lowest common multiple of 727,312,584,589 is 9752751528.

LCM Formula to Find Lowest Common Multiple of 727,312,584,589

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.

727 x 312 x 584 x 589 = 78022012224

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.

727 : 1, 727

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,312,584,589, is 1.

Now, the common factors can be found like this.

727:727

312:2x 2x 2x 3x 13

584:2x 2x 2x 73

589:19x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 78022012224/(1x8)

LCM = 78022012224/8

LCM = 9752751528

Thus, we can understand that the LCM of 727,312,584,589 is 9752751528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 312, 584, 589

1. What is the LCM of 727, 312, 584, 589?

Answer: LCM of 727, 312, 584, 589 is 9752751528.

2. How to calculate the LCM of 727, 312, 584, 589?

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 727, 312, 584, 589.

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}.