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LCM of 825, 794, 495, 622, 303

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


Find the LCM of 825, 794, 495, 622, 303 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 825, 794, 495, 622, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,794,495,622,303

Given numbers are 825,794,495,622,303

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

The LCM of 825,794,495,622,303 is 61727326650.

Find LCM of 825,794,495,622,303 with Prime Factorization


2 825, 794, 495, 622, 303
3 825, 397, 495, 311, 303
5 275, 397, 165, 311, 101
11 55, 397, 33, 311, 101
5, 397, 3, 311, 101

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

2 x 3 x 5 x 11 x 5 x 397 x 3 x 311 x 101 = 61727326650

Therefore, the lowest common multiple of 825,794,495,622,303 is 61727326650.

LCM Formula to Find Lowest Common Multiple of 825,794,495,622,303

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.

825 x 794 x 495 x 622 x 303 = 61110053383500

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

794 : 1, 2, 397, 794

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

622 : 1, 2, 311, 622

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,794,495,622,303, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

794:2x 397

495:3x 3x 5x 11

622:2x 311

303:3x 101

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 5x 11 = 990

Therefore, the value for common factors is 990.

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 = 61110053383500/(1x990)

LCM = 61110053383500/990

LCM = 61727326650

Thus, we can understand that the LCM of 825,794,495,622,303 is 61727326650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 794, 495, 622, 303

1. What is the LCM of 825, 794, 495, 622, 303?

Answer: LCM of 825, 794, 495, 622, 303 is 61727326650.

2. How to calculate the LCM of 825, 794, 495, 622, 303?

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 825, 794, 495, 622, 303.

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}.