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LCM of 814, 794, 753, 71

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


Find the LCM of 814, 794, 753, 71 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 814, 794, 753, 71. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,794,753,71

Given numbers are 814,794,753,71

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

The LCM of 814,794,753,71 is 17276996154.

Find LCM of 814,794,753,71 with Prime Factorization


2 814, 794, 753, 71
407, 397, 753, 71

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

2 x 407 x 397 x 753 x 71 = 17276996154

Therefore, the lowest common multiple of 814,794,753,71 is 17276996154.

LCM Formula to Find Lowest Common Multiple of 814,794,753,71

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.

814 x 794 x 753 x 71 = 34553992308

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.

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

794 : 1, 2, 397, 794

753 : 1, 3, 251, 753

71 : 1, 71

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,794,753,71, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

794:2x 397

753:3x 251

71:71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 34553992308/(1x2)

LCM = 34553992308/2

LCM = 17276996154

Thus, we can understand that the LCM of 814,794,753,71 is 17276996154.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 794, 753, 71

1. What is the LCM of 814, 794, 753, 71?

Answer: LCM of 814, 794, 753, 71 is 17276996154.

2. How to calculate the LCM of 814, 794, 753, 71?

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 814, 794, 753, 71.

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}.