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LCM of 396, 301, 559, 825, 415

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


Find the LCM of 396, 301, 559, 825, 415 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 396, 301, 559, 825, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,301,559,825,415

Given numbers are 396,301,559,825,415

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

The LCM of 396,301,559,825,415 is 3215312100.

Find LCM of 396,301,559,825,415 with Prime Factorization


3 396, 301, 559, 825, 415
5 132, 301, 559, 275, 415
11 132, 301, 559, 55, 83
43 12, 301, 559, 5, 83
12, 7, 13, 5, 83

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

3 x 5 x 11 x 43 x 12 x 7 x 13 x 5 x 83 = 3215312100

Therefore, the lowest common multiple of 396,301,559,825,415 is 3215312100.

LCM Formula to Find Lowest Common Multiple of 396,301,559,825,415

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.

396 x 301 x 559 x 825 x 415 = 22812639349500

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

301 : 1, 7, 43, 301

559 : 1, 13, 43, 559

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

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,301,559,825,415, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

301:7x 43

559:13x 43

825:3x 5x 5x 11

415:5x 83

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

3x 5x 11x 43 = 7095

Therefore, the value for common factors is 7095.

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 = 22812639349500/(1x7095)

LCM = 22812639349500/7095

LCM = 3215312100

Thus, we can understand that the LCM of 396,301,559,825,415 is 3215312100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 301, 559, 825, 415

1. What is the LCM of 396, 301, 559, 825, 415?

Answer: LCM of 396, 301, 559, 825, 415 is 3215312100.

2. How to calculate the LCM of 396, 301, 559, 825, 415?

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 396, 301, 559, 825, 415.

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}.