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LCM of 680, 809, 578, 567

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


Find the LCM of 680, 809, 578, 567 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 680, 809, 578, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,809,578,567

Given numbers are 680,809,578,567

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

The LCM of 680,809,578,567 is 5302606680.

Find LCM of 680,809,578,567 with Prime Factorization


2 680, 809, 578, 567
17 340, 809, 289, 567
20, 809, 17, 567

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

2 x 17 x 20 x 809 x 17 x 567 = 5302606680

Therefore, the lowest common multiple of 680,809,578,567 is 5302606680.

LCM Formula to Find Lowest Common Multiple of 680,809,578,567

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.

680 x 809 x 578 x 567 = 180288627120

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

809 : 1, 809

578 : 1, 2, 17, 34, 289, 578

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,809,578,567, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

809:809

578:2x 17x 17

567:3x 3x 3x 3x 7

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 180288627120/(1x34)

LCM = 180288627120/34

LCM = 5302606680

Thus, we can understand that the LCM of 680,809,578,567 is 5302606680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 809, 578, 567

1. What is the LCM of 680, 809, 578, 567?

Answer: LCM of 680, 809, 578, 567 is 5302606680.

2. How to calculate the LCM of 680, 809, 578, 567?

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 680, 809, 578, 567.

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}.