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LCM of 794, 687, 687, 263, 803

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


Find the LCM of 794, 687, 687, 263, 803 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 794, 687, 687, 263, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,687,687,263,803

Given numbers are 794,687,687,263,803

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

The LCM of 794,687,687,263,803 is 115198953342.

Find LCM of 794,687,687,263,803 with Prime Factorization


3 794, 687, 687, 263, 803
229 794, 229, 229, 263, 803
794, 1, 1, 263, 803

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

3 x 229 x 794 x 1 x 1 x 263 x 803 = 115198953342

Therefore, the lowest common multiple of 794,687,687,263,803 is 115198953342.

LCM Formula to Find Lowest Common Multiple of 794,687,687,263,803

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.

794 x 687 x 687 x 263 x 803 = 79141680945954

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.

794 : 1, 2, 397, 794

687 : 1, 3, 229, 687

687 : 1, 3, 229, 687

263 : 1, 263

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,687,687,263,803, is 1.

Now, the common factors can be found like this.

794:2x 397

687:3x 229

687:3x 229

263:263

803:11x 73

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

3x 229 = 687

Therefore, the value for common factors is 687.

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 = 79141680945954/(1x687)

LCM = 79141680945954/687

LCM = 115198953342

Thus, we can understand that the LCM of 794,687,687,263,803 is 115198953342.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 687, 687, 263, 803

1. What is the LCM of 794, 687, 687, 263, 803?

Answer: LCM of 794, 687, 687, 263, 803 is 115198953342.

2. How to calculate the LCM of 794, 687, 687, 263, 803?

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 794, 687, 687, 263, 803.

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}.