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LCM of 809, 866, 866, 661

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


Find the LCM of 809, 866, 866, 661 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 809, 866, 866, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,866,866,661

Given numbers are 809,866,866,661

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

The LCM of 809,866,866,661 is 463092634.

Find LCM of 809,866,866,661 with Prime Factorization


2 809, 866, 866, 661
433 809, 433, 433, 661
809, 1, 1, 661

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

2 x 433 x 809 x 1 x 1 x 661 = 463092634

Therefore, the lowest common multiple of 809,866,866,661 is 463092634.

LCM Formula to Find Lowest Common Multiple of 809,866,866,661

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.

809 x 866 x 866 x 661 = 401038221044

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.

809 : 1, 809

866 : 1, 2, 433, 866

866 : 1, 2, 433, 866

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,866,866,661, is 1.

Now, the common factors can be found like this.

809:809

866:2x 433

866:2x 433

661:661

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

2x 433 = 866

Therefore, the value for common factors is 866.

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 = 401038221044/(1x866)

LCM = 401038221044/866

LCM = 463092634

Thus, we can understand that the LCM of 809,866,866,661 is 463092634.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 866, 866, 661

1. What is the LCM of 809, 866, 866, 661?

Answer: LCM of 809, 866, 866, 661 is 463092634.

2. How to calculate the LCM of 809, 866, 866, 661?

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 809, 866, 866, 661.

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}.