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LCM of 806, 388, 623, 714

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


Find the LCM of 806, 388, 623, 714 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 806, 388, 623, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,388,623,714

Given numbers are 806,388,623,714

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

The LCM of 806,388,623,714 is 4968153372.

Find LCM of 806,388,623,714 with Prime Factorization


2 806, 388, 623, 714
7 403, 194, 623, 357
403, 194, 89, 51

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

2 x 7 x 403 x 194 x 89 x 51 = 4968153372

Therefore, the lowest common multiple of 806,388,623,714 is 4968153372.

LCM Formula to Find Lowest Common Multiple of 806,388,623,714

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.

806 x 388 x 623 x 714 = 139108294416

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

388 : 1, 2, 4, 97, 194, 388

623 : 1, 7, 89, 623

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,388,623,714, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

388:2x 2x 97

623:7x 89

714:2x 3x 7x 17

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 139108294416/(1x28)

LCM = 139108294416/28

LCM = 4968153372

Thus, we can understand that the LCM of 806,388,623,714 is 4968153372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 388, 623, 714

1. What is the LCM of 806, 388, 623, 714?

Answer: LCM of 806, 388, 623, 714 is 4968153372.

2. How to calculate the LCM of 806, 388, 623, 714?

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 806, 388, 623, 714.

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}.