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LCM of 988, 741, 591, 104, 431

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


Find the LCM of 988, 741, 591, 104, 431 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, 741, 591, 104, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,741,591,104,431

Given numbers are 988,741,591,104,431

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

The LCM of 988,741,591,104,431 is 503328696.

Find LCM of 988,741,591,104,431 with Prime Factorization


2 988, 741, 591, 104, 431
2 494, 741, 591, 52, 431
3 247, 741, 591, 26, 431
13 247, 247, 197, 26, 431
19 19, 19, 197, 2, 431
1, 1, 197, 2, 431

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

2 x 2 x 3 x 13 x 19 x 1 x 1 x 197 x 2 x 431 = 503328696

Therefore, the lowest common multiple of 988,741,591,104,431 is 503328696.

LCM Formula to Find Lowest Common Multiple of 988,741,591,104,431

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 741 x 591 x 104 x 431 = 19394261314272

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

591 : 1, 3, 197, 591

104 : 1, 2, 4, 8, 13, 26, 52, 104

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,741,591,104,431, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

741:3x 13x 19

591:3x 197

104:2x 2x 2x 13

431:431

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 3x 13x 13x 19 = 38532

Therefore, the value for common factors is 38532.

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 = 19394261314272/(1x38532)

LCM = 19394261314272/38532

LCM = 503328696

Thus, we can understand that the LCM of 988,741,591,104,431 is 503328696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 741, 591, 104, 431

1. What is the LCM of 988, 741, 591, 104, 431?

Answer: LCM of 988, 741, 591, 104, 431 is 503328696.

2. How to calculate the LCM of 988, 741, 591, 104, 431?

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, 741, 591, 104, 431.

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}.