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LCM of 812, 493, 999, 205, 441

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


Find the LCM of 812, 493, 999, 205, 441 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 812, 493, 999, 205, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,493,999,205,441

Given numbers are 812,493,999,205,441

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

The LCM of 812,493,999,205,441 is 19788931260.

Find LCM of 812,493,999,205,441 with Prime Factorization


3 812, 493, 999, 205, 441
3 812, 493, 333, 205, 147
7 812, 493, 111, 205, 49
29 116, 493, 111, 205, 7
4, 17, 111, 205, 7

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

3 x 3 x 7 x 29 x 4 x 17 x 111 x 205 x 7 = 19788931260

Therefore, the lowest common multiple of 812,493,999,205,441 is 19788931260.

LCM Formula to Find Lowest Common Multiple of 812,493,999,205,441

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.

812 x 493 x 999 x 205 x 441 = 36154377412020

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

493 : 1, 17, 29, 493

999 : 1, 3, 9, 27, 37, 111, 333, 999

205 : 1, 5, 41, 205

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,493,999,205,441, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

493:17x 29

999:3x 3x 3x 37

205:5x 41

441:3x 3x 7x 7

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 7x 29 = 1827

Therefore, the value for common factors is 1827.

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 = 36154377412020/(1x1827)

LCM = 36154377412020/1827

LCM = 19788931260

Thus, we can understand that the LCM of 812,493,999,205,441 is 19788931260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 493, 999, 205, 441

1. What is the LCM of 812, 493, 999, 205, 441?

Answer: LCM of 812, 493, 999, 205, 441 is 19788931260.

2. How to calculate the LCM of 812, 493, 999, 205, 441?

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 812, 493, 999, 205, 441.

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}.