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LCM of 822, 795, 211, 799

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


Find the LCM of 822, 795, 211, 799 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, 795, 211, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,795,211,799

Given numbers are 822,795,211,799

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

The LCM of 822,795,211,799 is 36723741870.

Find LCM of 822,795,211,799 with Prime Factorization


3 822, 795, 211, 799
274, 265, 211, 799

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

3 x 274 x 265 x 211 x 799 = 36723741870

Therefore, the lowest common multiple of 822,795,211,799 is 36723741870.

LCM Formula to Find Lowest Common Multiple of 822,795,211,799

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 795 x 211 x 799 = 110171225610

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

795 : 1, 3, 5, 15, 53, 159, 265, 795

211 : 1, 211

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,795,211,799, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

795:3x 5x 53

211:211

799:17x 47

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

3 = 3

Therefore, the value for common factors is 3.

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 = 110171225610/(1x3)

LCM = 110171225610/3

LCM = 36723741870

Thus, we can understand that the LCM of 822,795,211,799 is 36723741870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 795, 211, 799

1. What is the LCM of 822, 795, 211, 799?

Answer: LCM of 822, 795, 211, 799 is 36723741870.

2. How to calculate the LCM of 822, 795, 211, 799?

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, 795, 211, 799.

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}.