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LCM of 439, 317, 422, 684

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


Find the LCM of 439, 317, 422, 684 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 439, 317, 422, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,317,422,684

Given numbers are 439,317,422,684

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

The LCM of 439,317,422,684 is 20084560812.

Find LCM of 439,317,422,684 with Prime Factorization


2 439, 317, 422, 684
439, 317, 211, 342

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

2 x 439 x 317 x 211 x 342 = 20084560812

Therefore, the lowest common multiple of 439,317,422,684 is 20084560812.

LCM Formula to Find Lowest Common Multiple of 439,317,422,684

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.

439 x 317 x 422 x 684 = 40169121624

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.

439 : 1, 439

317 : 1, 317

422 : 1, 2, 211, 422

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,317,422,684, is 1.

Now, the common factors can be found like this.

439:439

317:317

422:2x 211

684:2x 2x 3x 3x 19

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 = 40169121624/(1x2)

LCM = 40169121624/2

LCM = 20084560812

Thus, we can understand that the LCM of 439,317,422,684 is 20084560812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 317, 422, 684

1. What is the LCM of 439, 317, 422, 684?

Answer: LCM of 439, 317, 422, 684 is 20084560812.

2. How to calculate the LCM of 439, 317, 422, 684?

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 439, 317, 422, 684.

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}.