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LCM of 822, 843, 165, 902

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


Find the LCM of 822, 843, 165, 902 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 822, 843, 165, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,843,165,902

Given numbers are 822,843,165,902

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

The LCM of 822,843,165,902 is 520864410.

Find LCM of 822,843,165,902 with Prime Factorization


2 822, 843, 165, 902
3 411, 843, 165, 451
11 137, 281, 55, 451
137, 281, 5, 41

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

2 x 3 x 11 x 137 x 281 x 5 x 41 = 520864410

Therefore, the lowest common multiple of 822,843,165,902 is 520864410.

LCM Formula to Find Lowest Common Multiple of 822,843,165,902

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.

822 x 843 x 165 x 902 = 103131153180

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

843 : 1, 3, 281, 843

165 : 1, 3, 5, 11, 15, 33, 55, 165

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,843,165,902, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

843:3x 281

165:3x 5x 11

902:2x 11x 41

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 103131153180/(1x198)

LCM = 103131153180/198

LCM = 520864410

Thus, we can understand that the LCM of 822,843,165,902 is 520864410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 843, 165, 902

1. What is the LCM of 822, 843, 165, 902?

Answer: LCM of 822, 843, 165, 902 is 520864410.

2. How to calculate the LCM of 822, 843, 165, 902?

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 822, 843, 165, 902.

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}.