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LCM of 717, 763, 578, 730

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


Find the LCM of 717, 763, 578, 730 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, 763, 578, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,763,578,730

Given numbers are 717,763,578,730

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

The LCM of 717,763,578,730 is 115415568870.

Find LCM of 717,763,578,730 with Prime Factorization


2 717, 763, 578, 730
717, 763, 289, 365

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

2 x 717 x 763 x 289 x 365 = 115415568870

Therefore, the lowest common multiple of 717,763,578,730 is 115415568870.

LCM Formula to Find Lowest Common Multiple of 717,763,578,730

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 763 x 578 x 730 = 230831137740

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

763 : 1, 7, 109, 763

578 : 1, 2, 17, 34, 289, 578

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,763,578,730, is 1.

Now, the common factors can be found like this.

717:3x 239

763:7x 109

578:2x 17x 17

730:2x 5x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 230831137740/(1x2)

LCM = 230831137740/2

LCM = 115415568870

Thus, we can understand that the LCM of 717,763,578,730 is 115415568870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 763, 578, 730

1. What is the LCM of 717, 763, 578, 730?

Answer: LCM of 717, 763, 578, 730 is 115415568870.

2. How to calculate the LCM of 717, 763, 578, 730?

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, 763, 578, 730.

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}.