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LCM of 717, 991, 447

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


Find the LCM of 717, 991, 447 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, 991, 447. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,991,447

Given numbers are 717,991,447

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

The LCM of 717,991,447 is 105871503.

Find LCM of 717,991,447 with Prime Factorization


3 717, 991, 447
239, 991, 149

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

3 x 239 x 991 x 149 = 105871503

Therefore, the lowest common multiple of 717,991,447 is 105871503.

LCM Formula to Find Lowest Common Multiple of 717,991,447

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 991 x 447 = 317614509

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

991 : 1, 991

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,991,447, is 1.

Now, the common factors can be found like this.

717:3x 239

991:991

447:3x 149

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

3 = 3

Therefore, the value for common factors is 3.

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 = 317614509/(1x3)

LCM = 317614509/3

LCM = 105871503

Thus, we can understand that the LCM of 717,991,447 is 105871503.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 717, 991, 447

1. What is the LCM of 717, 991, 447?

Answer: LCM of 717, 991, 447 is 105871503.

2. How to calculate the LCM of 717, 991, 447?

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, 991, 447.

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}.