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LCM of 794, 814, 203, 759

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


Find the LCM of 794, 814, 203, 759 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, 814, 203, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,814,203,759

Given numbers are 794,814,203,759

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

The LCM of 794,814,203,759 is 4526474106.

Find LCM of 794,814,203,759 with Prime Factorization


2 794, 814, 203, 759
11 397, 407, 203, 759
397, 37, 203, 69

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

2 x 11 x 397 x 37 x 203 x 69 = 4526474106

Therefore, the lowest common multiple of 794,814,203,759 is 4526474106.

LCM Formula to Find Lowest Common Multiple of 794,814,203,759

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 814 x 203 x 759 = 99582430332

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

203 : 1, 7, 29, 203

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,814,203,759, is 1.

Now, the common factors can be found like this.

794:2x 397

814:2x 11x 37

203:7x 29

759:3x 11x 23

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 99582430332/(1x22)

LCM = 99582430332/22

LCM = 4526474106

Thus, we can understand that the LCM of 794,814,203,759 is 4526474106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 814, 203, 759

1. What is the LCM of 794, 814, 203, 759?

Answer: LCM of 794, 814, 203, 759 is 4526474106.

2. How to calculate the LCM of 794, 814, 203, 759?

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, 814, 203, 759.

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}.