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LCM of 740, 580, 717, 509

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


Find the LCM of 740, 580, 717, 509 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 740, 580, 717, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,580,717,509

Given numbers are 740,580,717,509

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

The LCM of 740,580,717,509 is 7831891380.

Find LCM of 740,580,717,509 with Prime Factorization


2 740, 580, 717, 509
2 370, 290, 717, 509
5 185, 145, 717, 509
37, 29, 717, 509

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

2 x 2 x 5 x 37 x 29 x 717 x 509 = 7831891380

Therefore, the lowest common multiple of 740,580,717,509 is 7831891380.

LCM Formula to Find Lowest Common Multiple of 740,580,717,509

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.

740 x 580 x 717 x 509 = 156637827600

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

717 : 1, 3, 239, 717

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,580,717,509, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

580:2x 2x 5x 29

717:3x 239

509:509

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 5 = 20

Therefore, the value for common factors is 20.

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 = 156637827600/(1x20)

LCM = 156637827600/20

LCM = 7831891380

Thus, we can understand that the LCM of 740,580,717,509 is 7831891380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 580, 717, 509

1. What is the LCM of 740, 580, 717, 509?

Answer: LCM of 740, 580, 717, 509 is 7831891380.

2. How to calculate the LCM of 740, 580, 717, 509?

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 740, 580, 717, 509.

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}.