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LCM of 363, 703, 437, 475, 399

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


Find the LCM of 363, 703, 437, 475, 399 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 363, 703, 437, 475, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,703,437,475,399

Given numbers are 363,703,437,475,399

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

The LCM of 363,703,437,475,399 is 1027135725.

Find LCM of 363,703,437,475,399 with Prime Factorization


3 363, 703, 437, 475, 399
19 121, 703, 437, 475, 133
121, 37, 23, 25, 7

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

3 x 19 x 121 x 37 x 23 x 25 x 7 = 1027135725

Therefore, the lowest common multiple of 363,703,437,475,399 is 1027135725.

LCM Formula to Find Lowest Common Multiple of 363,703,437,475,399

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.

363 x 703 x 437 x 475 x 399 = 21135371813325

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.

363 : 1, 3, 11, 33, 121, 363

703 : 1, 19, 37, 703

437 : 1, 19, 23, 437

475 : 1, 5, 19, 25, 95, 475

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,703,437,475,399, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

703:19x 37

437:19x 23

475:5x 5x 19

399:3x 7x 19

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

3x 19x 19x 19 = 20577

Therefore, the value for common factors is 20577.

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 = 21135371813325/(1x20577)

LCM = 21135371813325/20577

LCM = 1027135725

Thus, we can understand that the LCM of 363,703,437,475,399 is 1027135725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 703, 437, 475, 399

1. What is the LCM of 363, 703, 437, 475, 399?

Answer: LCM of 363, 703, 437, 475, 399 is 1027135725.

2. How to calculate the LCM of 363, 703, 437, 475, 399?

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 363, 703, 437, 475, 399.

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}.