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LCM of 988, 504, 558, 345, 589

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


Find the LCM of 988, 504, 558, 345, 589 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 988, 504, 558, 345, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,504,558,345,589

Given numbers are 988,504,558,345,589

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

The LCM of 988,504,558,345,589 is 443799720.

Find LCM of 988,504,558,345,589 with Prime Factorization


2 988, 504, 558, 345, 589
2 494, 252, 279, 345, 589
3 247, 126, 279, 345, 589
3 247, 42, 93, 115, 589
19 247, 14, 31, 115, 589
31 13, 14, 31, 115, 31
13, 14, 1, 115, 1

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

2 x 2 x 3 x 3 x 19 x 31 x 13 x 14 x 1 x 115 x 1 = 443799720

Therefore, the lowest common multiple of 988,504,558,345,589 is 443799720.

LCM Formula to Find Lowest Common Multiple of 988,504,558,345,589

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.

988 x 504 x 558 x 345 x 589 = 56461975577280

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

345 : 1, 3, 5, 15, 23, 69, 115, 345

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,504,558,345,589, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

504:2x 2x 2x 3x 3x 7

558:2x 3x 3x 31

345:3x 5x 23

589:19x 31

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 3x 3x 3x 19x 31 = 127224

Therefore, the value for common factors is 127224.

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 = 56461975577280/(1x127224)

LCM = 56461975577280/127224

LCM = 443799720

Thus, we can understand that the LCM of 988,504,558,345,589 is 443799720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 504, 558, 345, 589

1. What is the LCM of 988, 504, 558, 345, 589?

Answer: LCM of 988, 504, 558, 345, 589 is 443799720.

2. How to calculate the LCM of 988, 504, 558, 345, 589?

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 988, 504, 558, 345, 589.

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}.