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LCM of 717, 871, 840, 847, 509

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


Find the LCM of 717, 871, 840, 847, 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 717, 871, 840, 847, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,871,840,847,509

Given numbers are 717,871,840,847,509

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

The LCM of 717,871,840,847,509 is 10769573254440.

Find LCM of 717,871,840,847,509 with Prime Factorization


3 717, 871, 840, 847, 509
7 239, 871, 280, 847, 509
239, 871, 40, 121, 509

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

3 x 7 x 239 x 871 x 40 x 121 x 509 = 10769573254440

Therefore, the lowest common multiple of 717,871,840,847,509 is 10769573254440.

LCM Formula to Find Lowest Common Multiple of 717,871,840,847,509

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.

717 x 871 x 840 x 847 x 509 = 226161038343240

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.

717 : 1, 3, 239, 717

871 : 1, 13, 67, 871

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

847 : 1, 7, 11, 77, 121, 847

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,871,840,847,509, is 1.

Now, the common factors can be found like this.

717:3x 239

871:13x 67

840:2x 2x 2x 3x 5x 7

847:7x 11x 11

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.

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 226161038343240/(1x21)

LCM = 226161038343240/21

LCM = 10769573254440

Thus, we can understand that the LCM of 717,871,840,847,509 is 10769573254440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 871, 840, 847, 509

1. What is the LCM of 717, 871, 840, 847, 509?

Answer: LCM of 717, 871, 840, 847, 509 is 10769573254440.

2. How to calculate the LCM of 717, 871, 840, 847, 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 717, 871, 840, 847, 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}.