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LCM of 717, 559, 214, 664

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


Find the LCM of 717, 559, 214, 664 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, 559, 214, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,559,214,664

Given numbers are 717,559,214,664

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

The LCM of 717,559,214,664 is 28476251544.

Find LCM of 717,559,214,664 with Prime Factorization


2 717, 559, 214, 664
717, 559, 107, 332

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

2 x 717 x 559 x 107 x 332 = 28476251544

Therefore, the lowest common multiple of 717,559,214,664 is 28476251544.

LCM Formula to Find Lowest Common Multiple of 717,559,214,664

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 559 x 214 x 664 = 56952503088

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

559 : 1, 13, 43, 559

214 : 1, 2, 107, 214

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,559,214,664, is 1.

Now, the common factors can be found like this.

717:3x 239

559:13x 43

214:2x 107

664:2x 2x 2x 83

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 = 56952503088/(1x2)

LCM = 56952503088/2

LCM = 28476251544

Thus, we can understand that the LCM of 717,559,214,664 is 28476251544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 559, 214, 664

1. What is the LCM of 717, 559, 214, 664?

Answer: LCM of 717, 559, 214, 664 is 28476251544.

2. How to calculate the LCM of 717, 559, 214, 664?

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, 559, 214, 664.

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}.