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LCM of 521, 419, 563, 399, 475

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


Find the LCM of 521, 419, 563, 399, 475 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 521, 419, 563, 399, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,419,563,399,475

Given numbers are 521,419,563,399,475

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

The LCM of 521,419,563,399,475 is 1225950811575.

Find LCM of 521,419,563,399,475 with Prime Factorization


19 521, 419, 563, 399, 475
521, 419, 563, 21, 25

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

19 x 521 x 419 x 563 x 21 x 25 = 1225950811575

Therefore, the lowest common multiple of 521,419,563,399,475 is 1225950811575.

LCM Formula to Find Lowest Common Multiple of 521,419,563,399,475

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.

521 x 419 x 563 x 399 x 475 = 23293065419925

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.

521 : 1, 521

419 : 1, 419

563 : 1, 563

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,419,563,399,475, is 1.

Now, the common factors can be found like this.

521:521

419:419

563:563

399:3x 7x 19

475:5x 5x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 23293065419925/(1x19)

LCM = 23293065419925/19

LCM = 1225950811575

Thus, we can understand that the LCM of 521,419,563,399,475 is 1225950811575.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 419, 563, 399, 475

1. What is the LCM of 521, 419, 563, 399, 475?

Answer: LCM of 521, 419, 563, 399, 475 is 1225950811575.

2. How to calculate the LCM of 521, 419, 563, 399, 475?

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 521, 419, 563, 399, 475.

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}.