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LCM of 801, 209, 485, 447, 794

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


Find the LCM of 801, 209, 485, 447, 794 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 801, 209, 485, 447, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,209,485,447,794

Given numbers are 801,209,485,447,794

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

The LCM of 801,209,485,447,794 is 9605662239690.

Find LCM of 801,209,485,447,794 with Prime Factorization


3 801, 209, 485, 447, 794
267, 209, 485, 149, 794

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

3 x 267 x 209 x 485 x 149 x 794 = 9605662239690

Therefore, the lowest common multiple of 801,209,485,447,794 is 9605662239690.

LCM Formula to Find Lowest Common Multiple of 801,209,485,447,794

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.

801 x 209 x 485 x 447 x 794 = 28816986719070

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.

801 : 1, 3, 9, 89, 267, 801

209 : 1, 11, 19, 209

485 : 1, 5, 97, 485

447 : 1, 3, 149, 447

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,209,485,447,794, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

209:11x 19

485:5x 97

447:3x 149

794:2x 397

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 = 28816986719070/(1x3)

LCM = 28816986719070/3

LCM = 9605662239690

Thus, we can understand that the LCM of 801,209,485,447,794 is 9605662239690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 209, 485, 447, 794

1. What is the LCM of 801, 209, 485, 447, 794?

Answer: LCM of 801, 209, 485, 447, 794 is 9605662239690.

2. How to calculate the LCM of 801, 209, 485, 447, 794?

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 801, 209, 485, 447, 794.

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}.