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LCM of 199, 284, 722, 395

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


Find the LCM of 199, 284, 722, 395 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 199, 284, 722, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,284,722,395

Given numbers are 199,284,722,395

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

The LCM of 199,284,722,395 is 8058899020.

Find LCM of 199,284,722,395 with Prime Factorization


2 199, 284, 722, 395
199, 142, 361, 395

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

2 x 199 x 142 x 361 x 395 = 8058899020

Therefore, the lowest common multiple of 199,284,722,395 is 8058899020.

LCM Formula to Find Lowest Common Multiple of 199,284,722,395

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.

199 x 284 x 722 x 395 = 16117798040

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.

199 : 1, 199

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

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

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,284,722,395, is 1.

Now, the common factors can be found like this.

199:199

284:2x 2x 71

722:2x 19x 19

395:5x 79

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 = 16117798040/(1x2)

LCM = 16117798040/2

LCM = 8058899020

Thus, we can understand that the LCM of 199,284,722,395 is 8058899020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 284, 722, 395

1. What is the LCM of 199, 284, 722, 395?

Answer: LCM of 199, 284, 722, 395 is 8058899020.

2. How to calculate the LCM of 199, 284, 722, 395?

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 199, 284, 722, 395.

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}.