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LCM of 569, 986, 989, 916

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


Find the LCM of 569, 986, 989, 916 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 569, 986, 989, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,986,989,916

Given numbers are 569,986,989,916

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

The LCM of 569,986,989,916 is 254127082708.

Find LCM of 569,986,989,916 with Prime Factorization


2 569, 986, 989, 916
569, 493, 989, 458

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

2 x 569 x 493 x 989 x 458 = 254127082708

Therefore, the lowest common multiple of 569,986,989,916 is 254127082708.

LCM Formula to Find Lowest Common Multiple of 569,986,989,916

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.

569 x 986 x 989 x 916 = 508254165416

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.

569 : 1, 569

986 : 1, 2, 17, 29, 34, 58, 493, 986

989 : 1, 23, 43, 989

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,986,989,916, is 1.

Now, the common factors can be found like this.

569:569

986:2x 17x 29

989:23x 43

916:2x 2x 229

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 = 508254165416/(1x2)

LCM = 508254165416/2

LCM = 254127082708

Thus, we can understand that the LCM of 569,986,989,916 is 254127082708.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 986, 989, 916

1. What is the LCM of 569, 986, 989, 916?

Answer: LCM of 569, 986, 989, 916 is 254127082708.

2. How to calculate the LCM of 569, 986, 989, 916?

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 569, 986, 989, 916.

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}.