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LCM of 529, 713, 759, 814

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


Find the LCM of 529, 713, 759, 814 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 529, 713, 759, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,713,759,814

Given numbers are 529,713,759,814

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

The LCM of 529,713,759,814 is 40046358.

Find LCM of 529,713,759,814 with Prime Factorization


11 529, 713, 759, 814
23 529, 713, 69, 74
23, 31, 3, 74

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

11 x 23 x 23 x 31 x 3 x 74 = 40046358

Therefore, the lowest common multiple of 529,713,759,814 is 40046358.

LCM Formula to Find Lowest Common Multiple of 529,713,759,814

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.

529 x 713 x 759 x 814 = 233029757202

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.

529 : 1, 23, 529

713 : 1, 23, 31, 713

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,713,759,814, is 1.

Now, the common factors can be found like this.

529:23x 23

713:23x 31

759:3x 11x 23

814:2x 11x 37

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

11x 23x 23 = 5819

Therefore, the value for common factors is 5819.

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 = 233029757202/(1x5819)

LCM = 233029757202/5819

LCM = 40046358

Thus, we can understand that the LCM of 529,713,759,814 is 40046358.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 713, 759, 814

1. What is the LCM of 529, 713, 759, 814?

Answer: LCM of 529, 713, 759, 814 is 40046358.

2. How to calculate the LCM of 529, 713, 759, 814?

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 529, 713, 759, 814.

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}.