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LCM of 801, 998, 837, 713, 867

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


Find the LCM of 801, 998, 837, 713, 867 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 801, 998, 837, 713, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,998,837,713,867

Given numbers are 801,998,837,713,867

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

The LCM of 801,998,837,713,867 is 494164661058.

Find LCM of 801,998,837,713,867 with Prime Factorization


3 801, 998, 837, 713, 867
3 267, 998, 279, 713, 289
31 89, 998, 93, 713, 289
89, 998, 3, 23, 289

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

3 x 3 x 31 x 89 x 998 x 3 x 23 x 289 = 494164661058

Therefore, the lowest common multiple of 801,998,837,713,867 is 494164661058.

LCM Formula to Find Lowest Common Multiple of 801,998,837,713,867

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.

801 x 998 x 837 x 713 x 867 = 413615821305546

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.

801 : 1, 3, 9, 89, 267, 801

998 : 1, 2, 499, 998

837 : 1, 3, 9, 27, 31, 93, 279, 837

713 : 1, 23, 31, 713

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,998,837,713,867, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

998:2x 499

837:3x 3x 3x 31

713:23x 31

867:3x 17x 17

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

3x 3x 3x 31 = 837

Therefore, the value for common factors is 837.

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 = 413615821305546/(1x837)

LCM = 413615821305546/837

LCM = 494164661058

Thus, we can understand that the LCM of 801,998,837,713,867 is 494164661058.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 998, 837, 713, 867

1. What is the LCM of 801, 998, 837, 713, 867?

Answer: LCM of 801, 998, 837, 713, 867 is 494164661058.

2. How to calculate the LCM of 801, 998, 837, 713, 867?

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 801, 998, 837, 713, 867.

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}.