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LCM of 989, 881, 507, 806

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


Find the LCM of 989, 881, 507, 806 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, 881, 507, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,881,507,806

Given numbers are 989,881,507,806

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

The LCM of 989,881,507,806 is 27388727106.

Find LCM of 989,881,507,806 with Prime Factorization


13 989, 881, 507, 806
989, 881, 39, 62

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

13 x 989 x 881 x 39 x 62 = 27388727106

Therefore, the lowest common multiple of 989,881,507,806 is 27388727106.

LCM Formula to Find Lowest Common Multiple of 989,881,507,806

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 881 x 507 x 806 = 356053452378

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

881 : 1, 881

507 : 1, 3, 13, 39, 169, 507

806 : 1, 2, 13, 26, 31, 62, 403, 806

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,881,507,806, is 1.

Now, the common factors can be found like this.

989:23x 43

881:881

507:3x 13x 13

806:2x 13x 31

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

13 = 13

Therefore, the value for common factors is 13.

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 = 356053452378/(1x13)

LCM = 356053452378/13

LCM = 27388727106

Thus, we can understand that the LCM of 989,881,507,806 is 27388727106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 881, 507, 806

1. What is the LCM of 989, 881, 507, 806?

Answer: LCM of 989, 881, 507, 806 is 27388727106.

2. How to calculate the LCM of 989, 881, 507, 806?

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, 881, 507, 806.

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}.