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LCM of 989, 561, 398, 910, 503

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


Find the LCM of 989, 561, 398, 910, 503 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 989, 561, 398, 910, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,561,398,910,503

Given numbers are 989,561,398,910,503

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

The LCM of 989,561,398,910,503 is 50538413755830.

Find LCM of 989,561,398,910,503 with Prime Factorization


2 989, 561, 398, 910, 503
989, 561, 199, 455, 503

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

2 x 989 x 561 x 199 x 455 x 503 = 50538413755830

Therefore, the lowest common multiple of 989,561,398,910,503 is 50538413755830.

LCM Formula to Find Lowest Common Multiple of 989,561,398,910,503

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.

989 x 561 x 398 x 910 x 503 = 101076827511660

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.

989 : 1, 23, 43, 989

561 : 1, 3, 11, 17, 33, 51, 187, 561

398 : 1, 2, 199, 398

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,561,398,910,503, is 1.

Now, the common factors can be found like this.

989:23x 43

561:3x 11x 17

398:2x 199

910:2x 5x 7x 13

503:503

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 = 101076827511660/(1x2)

LCM = 101076827511660/2

LCM = 50538413755830

Thus, we can understand that the LCM of 989,561,398,910,503 is 50538413755830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 561, 398, 910, 503

1. What is the LCM of 989, 561, 398, 910, 503?

Answer: LCM of 989, 561, 398, 910, 503 is 50538413755830.

2. How to calculate the LCM of 989, 561, 398, 910, 503?

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 989, 561, 398, 910, 503.

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}.