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LCM of 909, 188, 542, 806, 889

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


Find the LCM of 909, 188, 542, 806, 889 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 909, 188, 542, 806, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,188,542,806,889

Given numbers are 909,188,542,806,889

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

The LCM of 909,188,542,806,889 is 16591965288444.

Find LCM of 909,188,542,806,889 with Prime Factorization


2 909, 188, 542, 806, 889
909, 94, 271, 403, 889

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

2 x 909 x 94 x 271 x 403 x 889 = 16591965288444

Therefore, the lowest common multiple of 909,188,542,806,889 is 16591965288444.

LCM Formula to Find Lowest Common Multiple of 909,188,542,806,889

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.

909 x 188 x 542 x 806 x 889 = 66367861153776

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.

909 : 1, 3, 9, 101, 303, 909

188 : 1, 2, 4, 47, 94, 188

542 : 1, 2, 271, 542

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

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,188,542,806,889, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

188:2x 2x 47

542:2x 271

806:2x 13x 31

889:7x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 66367861153776/(1x4)

LCM = 66367861153776/4

LCM = 16591965288444

Thus, we can understand that the LCM of 909,188,542,806,889 is 16591965288444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 188, 542, 806, 889

1. What is the LCM of 909, 188, 542, 806, 889?

Answer: LCM of 909, 188, 542, 806, 889 is 16591965288444.

2. How to calculate the LCM of 909, 188, 542, 806, 889?

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 909, 188, 542, 806, 889.

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}.