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LCM of 990, 898, 428, 115, 917

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


Find the LCM of 990, 898, 428, 115, 917 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 990, 898, 428, 115, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,898,428,115,917

Given numbers are 990,898,428,115,917

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

The LCM of 990,898,428,115,917 is 2006284327740.

Find LCM of 990,898,428,115,917 with Prime Factorization


2 990, 898, 428, 115, 917
5 495, 449, 214, 115, 917
99, 449, 214, 23, 917

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

2 x 5 x 99 x 449 x 214 x 23 x 917 = 2006284327740

Therefore, the lowest common multiple of 990,898,428,115,917 is 2006284327740.

LCM Formula to Find Lowest Common Multiple of 990,898,428,115,917

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.

990 x 898 x 428 x 115 x 917 = 40125686554800

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

898 : 1, 2, 449, 898

428 : 1, 2, 4, 107, 214, 428

115 : 1, 5, 23, 115

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,898,428,115,917, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

898:2x 449

428:2x 2x 107

115:5x 23

917:7x 131

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 5 = 20

Therefore, the value for common factors is 20.

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 = 40125686554800/(1x20)

LCM = 40125686554800/20

LCM = 2006284327740

Thus, we can understand that the LCM of 990,898,428,115,917 is 2006284327740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 898, 428, 115, 917

1. What is the LCM of 990, 898, 428, 115, 917?

Answer: LCM of 990, 898, 428, 115, 917 is 2006284327740.

2. How to calculate the LCM of 990, 898, 428, 115, 917?

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 990, 898, 428, 115, 917.

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}.