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LCM of 686, 445, 449, 470, 519

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


Find the LCM of 686, 445, 449, 470, 519 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 686, 445, 449, 470, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,445,449,470,519

Given numbers are 686,445,449,470,519

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

The LCM of 686,445,449,470,519 is 3343456548390.

Find LCM of 686,445,449,470,519 with Prime Factorization


2 686, 445, 449, 470, 519
5 343, 445, 449, 235, 519
343, 89, 449, 47, 519

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

2 x 5 x 343 x 89 x 449 x 47 x 519 = 3343456548390

Therefore, the lowest common multiple of 686,445,449,470,519 is 3343456548390.

LCM Formula to Find Lowest Common Multiple of 686,445,449,470,519

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.

686 x 445 x 449 x 470 x 519 = 33434565483900

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

445 : 1, 5, 89, 445

449 : 1, 449

470 : 1, 2, 5, 10, 47, 94, 235, 470

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,445,449,470,519, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

445:5x 89

449:449

470:2x 5x 47

519:3x 173

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 33434565483900/(1x10)

LCM = 33434565483900/10

LCM = 3343456548390

Thus, we can understand that the LCM of 686,445,449,470,519 is 3343456548390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 445, 449, 470, 519

1. What is the LCM of 686, 445, 449, 470, 519?

Answer: LCM of 686, 445, 449, 470, 519 is 3343456548390.

2. How to calculate the LCM of 686, 445, 449, 470, 519?

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 686, 445, 449, 470, 519.

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}.