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LCM of 206, 541, 589, 872

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


Find the LCM of 206, 541, 589, 872 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 206, 541, 589, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,541,589,872

Given numbers are 206,541,589,872

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

The LCM of 206,541,589,872 is 28619778584.

Find LCM of 206,541,589,872 with Prime Factorization


2 206, 541, 589, 872
103, 541, 589, 436

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

2 x 103 x 541 x 589 x 436 = 28619778584

Therefore, the lowest common multiple of 206,541,589,872 is 28619778584.

LCM Formula to Find Lowest Common Multiple of 206,541,589,872

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.

206 x 541 x 589 x 872 = 57239557168

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.

206 : 1, 2, 103, 206

541 : 1, 541

589 : 1, 19, 31, 589

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,541,589,872, is 1.

Now, the common factors can be found like this.

206:2x 103

541:541

589:19x 31

872:2x 2x 2x 109

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 = 57239557168/(1x2)

LCM = 57239557168/2

LCM = 28619778584

Thus, we can understand that the LCM of 206,541,589,872 is 28619778584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 541, 589, 872

1. What is the LCM of 206, 541, 589, 872?

Answer: LCM of 206, 541, 589, 872 is 28619778584.

2. How to calculate the LCM of 206, 541, 589, 872?

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 206, 541, 589, 872.

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}.