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LCM of 990, 913, 122, 792

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


Find the LCM of 990, 913, 122, 792 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, 913, 122, 792. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,913,122,792

Given numbers are 990,913,122,792

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

The LCM of 990,913,122,792 is 20049480.

Find LCM of 990,913,122,792 with Prime Factorization


2 990, 913, 122, 792
3 495, 913, 61, 396
3 165, 913, 61, 132
11 55, 913, 61, 44
5, 83, 61, 4

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

2 x 3 x 3 x 11 x 5 x 83 x 61 x 4 = 20049480

Therefore, the lowest common multiple of 990,913,122,792 is 20049480.

LCM Formula to Find Lowest Common Multiple of 990,913,122,792

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 913 x 122 x 792 = 87335534880

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

913 : 1, 11, 83, 913

122 : 1, 2, 61, 122

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,913,122,792, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

913:11x 83

122:2x 61

792:2x 2x 2x 3x 3x 11

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 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 87335534880/(1x4356)

LCM = 87335534880/4356

LCM = 20049480

Thus, we can understand that the LCM of 990,913,122,792 is 20049480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 913, 122, 792

1. What is the LCM of 990, 913, 122, 792?

Answer: LCM of 990, 913, 122, 792 is 20049480.

2. How to calculate the LCM of 990, 913, 122, 792?

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, 913, 122, 792.

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}.