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LCM of 568, 989, 253, 989

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


Find the LCM of 568, 989, 253, 989 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 568, 989, 253, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,989,253,989

Given numbers are 568,989,253,989

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

The LCM of 568,989,253,989 is 6179272.

Find LCM of 568,989,253,989 with Prime Factorization


23 568, 989, 253, 989
43 568, 43, 11, 43
568, 1, 11, 1

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

23 x 43 x 568 x 1 x 11 x 1 = 6179272

Therefore, the lowest common multiple of 568,989,253,989 is 6179272.

LCM Formula to Find Lowest Common Multiple of 568,989,253,989

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.

568 x 989 x 253 x 989 = 140559900184

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

989 : 1, 23, 43, 989

253 : 1, 11, 23, 253

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,989,253,989, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

989:23x 43

253:11x 23

989:23x 43

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

23x 23x 43 = 22747

Therefore, the value for common factors is 22747.

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 = 140559900184/(1x22747)

LCM = 140559900184/22747

LCM = 6179272

Thus, we can understand that the LCM of 568,989,253,989 is 6179272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 989, 253, 989

1. What is the LCM of 568, 989, 253, 989?

Answer: LCM of 568, 989, 253, 989 is 6179272.

2. How to calculate the LCM of 568, 989, 253, 989?

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 568, 989, 253, 989.

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}.