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LCM of 589, 122, 857, 371, 898

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


Find the LCM of 589, 122, 857, 371, 898 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 589, 122, 857, 371, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,122,857,371,898

Given numbers are 589,122,857,371,898

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

The LCM of 589,122,857,371,898 is 10258318951174.

Find LCM of 589,122,857,371,898 with Prime Factorization


2 589, 122, 857, 371, 898
589, 61, 857, 371, 449

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

2 x 589 x 61 x 857 x 371 x 449 = 10258318951174

Therefore, the lowest common multiple of 589,122,857,371,898 is 10258318951174.

LCM Formula to Find Lowest Common Multiple of 589,122,857,371,898

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.

589 x 122 x 857 x 371 x 898 = 20516637902348

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.

589 : 1, 19, 31, 589

122 : 1, 2, 61, 122

857 : 1, 857

371 : 1, 7, 53, 371

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,122,857,371,898, is 1.

Now, the common factors can be found like this.

589:19x 31

122:2x 61

857:857

371:7x 53

898:2x 449

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 = 20516637902348/(1x2)

LCM = 20516637902348/2

LCM = 10258318951174

Thus, we can understand that the LCM of 589,122,857,371,898 is 10258318951174.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 122, 857, 371, 898

1. What is the LCM of 589, 122, 857, 371, 898?

Answer: LCM of 589, 122, 857, 371, 898 is 10258318951174.

2. How to calculate the LCM of 589, 122, 857, 371, 898?

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 589, 122, 857, 371, 898.

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}.