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LCM of 395, 722, 284, 706, 914

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


Find the LCM of 395, 722, 284, 706, 914 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 395, 722, 284, 706, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,722,284,706,914

Given numbers are 395,722,284,706,914

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

The LCM of 395,722,284,706,914 is 6533013310580.

Find LCM of 395,722,284,706,914 with Prime Factorization


2 395, 722, 284, 706, 914
395, 361, 142, 353, 457

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

2 x 395 x 361 x 142 x 353 x 457 = 6533013310580

Therefore, the lowest common multiple of 395,722,284,706,914 is 6533013310580.

LCM Formula to Find Lowest Common Multiple of 395,722,284,706,914

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.

395 x 722 x 284 x 706 x 914 = 52264106484640

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.

395 : 1, 5, 79, 395

722 : 1, 2, 19, 38, 361, 722

284 : 1, 2, 4, 71, 142, 284

706 : 1, 2, 353, 706

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,722,284,706,914, is 1.

Now, the common factors can be found like this.

395:5x 79

722:2x 19x 19

284:2x 2x 71

706:2x 353

914:2x 457

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52264106484640/(1x8)

LCM = 52264106484640/8

LCM = 6533013310580

Thus, we can understand that the LCM of 395,722,284,706,914 is 6533013310580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 722, 284, 706, 914

1. What is the LCM of 395, 722, 284, 706, 914?

Answer: LCM of 395, 722, 284, 706, 914 is 6533013310580.

2. How to calculate the LCM of 395, 722, 284, 706, 914?

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 395, 722, 284, 706, 914.

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}.