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LCM of 984, 559, 988, 268, 617

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


Find the LCM of 984, 559, 988, 268, 617 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 984, 559, 988, 268, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,559,988,268,617

Given numbers are 984,559,988,268,617

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

The LCM of 984,559,988,268,617 is 432036534696.

Find LCM of 984,559,988,268,617 with Prime Factorization


2 984, 559, 988, 268, 617
2 492, 559, 494, 134, 617
13 246, 559, 247, 67, 617
246, 43, 19, 67, 617

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

2 x 2 x 13 x 246 x 43 x 19 x 67 x 617 = 432036534696

Therefore, the lowest common multiple of 984,559,988,268,617 is 432036534696.

LCM Formula to Find Lowest Common Multiple of 984,559,988,268,617

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.

984 x 559 x 988 x 268 x 617 = 89863599216768

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

559 : 1, 13, 43, 559

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

268 : 1, 2, 4, 67, 134, 268

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,559,988,268,617, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

559:13x 43

988:2x 2x 13x 19

268:2x 2x 67

617:617

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

2x 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 89863599216768/(1x208)

LCM = 89863599216768/208

LCM = 432036534696

Thus, we can understand that the LCM of 984,559,988,268,617 is 432036534696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 559, 988, 268, 617

1. What is the LCM of 984, 559, 988, 268, 617?

Answer: LCM of 984, 559, 988, 268, 617 is 432036534696.

2. How to calculate the LCM of 984, 559, 988, 268, 617?

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 984, 559, 988, 268, 617.

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}.