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LCM of 998, 166, 885, 413

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


Find the LCM of 998, 166, 885, 413 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 998, 166, 885, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,166,885,413

Given numbers are 998,166,885,413

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

The LCM of 998,166,885,413 is 513156630.

Find LCM of 998,166,885,413 with Prime Factorization


2 998, 166, 885, 413
59 499, 83, 885, 413
499, 83, 15, 7

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

2 x 59 x 499 x 83 x 15 x 7 = 513156630

Therefore, the lowest common multiple of 998,166,885,413 is 513156630.

LCM Formula to Find Lowest Common Multiple of 998,166,885,413

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.

998 x 166 x 885 x 413 = 60552482340

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.

998 : 1, 2, 499, 998

166 : 1, 2, 83, 166

885 : 1, 3, 5, 15, 59, 177, 295, 885

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,166,885,413, is 1.

Now, the common factors can be found like this.

998:2x 499

166:2x 83

885:3x 5x 59

413:7x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 60552482340/(1x118)

LCM = 60552482340/118

LCM = 513156630

Thus, we can understand that the LCM of 998,166,885,413 is 513156630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 166, 885, 413

1. What is the LCM of 998, 166, 885, 413?

Answer: LCM of 998, 166, 885, 413 is 513156630.

2. How to calculate the LCM of 998, 166, 885, 413?

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 998, 166, 885, 413.

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}.