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LCM of 609, 567, 415, 389, 720

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


Find the LCM of 609, 567, 415, 389, 720 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 609, 567, 415, 389, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,567,415,389,720

Given numbers are 609,567,415,389,720

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

The LCM of 609,567,415,389,720 is 42471611280.

Find LCM of 609,567,415,389,720 with Prime Factorization


3 609, 567, 415, 389, 720
3 203, 189, 415, 389, 240
5 203, 63, 415, 389, 80
7 203, 63, 83, 389, 16
29, 9, 83, 389, 16

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

3 x 3 x 5 x 7 x 29 x 9 x 83 x 389 x 16 = 42471611280

Therefore, the lowest common multiple of 609,567,415,389,720 is 42471611280.

LCM Formula to Find Lowest Common Multiple of 609,567,415,389,720

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.

609 x 567 x 415 x 389 x 720 = 40135672659600

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

415 : 1, 5, 83, 415

389 : 1, 389

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,567,415,389,720, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

567:3x 3x 3x 3x 7

415:5x 83

389:389

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

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 3x 5x 7 = 945

Therefore, the value for common factors is 945.

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 = 40135672659600/(1x945)

LCM = 40135672659600/945

LCM = 42471611280

Thus, we can understand that the LCM of 609,567,415,389,720 is 42471611280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 567, 415, 389, 720

1. What is the LCM of 609, 567, 415, 389, 720?

Answer: LCM of 609, 567, 415, 389, 720 is 42471611280.

2. How to calculate the LCM of 609, 567, 415, 389, 720?

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 609, 567, 415, 389, 720.

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}.