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LCM of 339, 489, 720, 563, 205

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


Find the LCM of 339, 489, 720, 563, 205 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 339, 489, 720, 563, 205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,489,720,563,205

Given numbers are 339,489,720,563,205

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

The LCM of 339,489,720,563,205 is 306119359440.

Find LCM of 339,489,720,563,205 with Prime Factorization


3 339, 489, 720, 563, 205
5 113, 163, 240, 563, 205
113, 163, 48, 563, 41

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

3 x 5 x 113 x 163 x 48 x 563 x 41 = 306119359440

Therefore, the lowest common multiple of 339,489,720,563,205 is 306119359440.

LCM Formula to Find Lowest Common Multiple of 339,489,720,563,205

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.

339 x 489 x 720 x 563 x 205 = 13775371174800

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.

339 : 1, 3, 113, 339

489 : 1, 3, 163, 489

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

563 : 1, 563

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,489,720,563,205, is 1.

Now, the common factors can be found like this.

339:3x 113

489:3x 163

720:2x 2x 2x 2x 3x 3x 5

563:563

205:5x 41

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 13775371174800/(1x45)

LCM = 13775371174800/45

LCM = 306119359440

Thus, we can understand that the LCM of 339,489,720,563,205 is 306119359440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 489, 720, 563, 205

1. What is the LCM of 339, 489, 720, 563, 205?

Answer: LCM of 339, 489, 720, 563, 205 is 306119359440.

2. How to calculate the LCM of 339, 489, 720, 563, 205?

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 339, 489, 720, 563, 205.

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}.