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LCM of 822, 441, 559, 583

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


Find the LCM of 822, 441, 559, 583 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, 441, 559, 583. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,441,559,583

Given numbers are 822,441,559,583

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

The LCM of 822,441,559,583 is 39379438098.

Find LCM of 822,441,559,583 with Prime Factorization


3 822, 441, 559, 583
274, 147, 559, 583

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

3 x 274 x 147 x 559 x 583 = 39379438098

Therefore, the lowest common multiple of 822,441,559,583 is 39379438098.

LCM Formula to Find Lowest Common Multiple of 822,441,559,583

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 441 x 559 x 583 = 118138314294

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

559 : 1, 13, 43, 559

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,441,559,583, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

441:3x 3x 7x 7

559:13x 43

583:11x 53

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 = 118138314294/(1x3)

LCM = 118138314294/3

LCM = 39379438098

Thus, we can understand that the LCM of 822,441,559,583 is 39379438098.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 441, 559, 583

1. What is the LCM of 822, 441, 559, 583?

Answer: LCM of 822, 441, 559, 583 is 39379438098.

2. How to calculate the LCM of 822, 441, 559, 583?

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, 441, 559, 583.

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}.