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LCM of 591, 764, 381, 432, 463

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


Find the LCM of 591, 764, 381, 432, 463 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 591, 764, 381, 432, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,764,381,432,463

Given numbers are 591,764,381,432,463

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

The LCM of 591,764,381,432,463 is 955802258064.

Find LCM of 591,764,381,432,463 with Prime Factorization


2 591, 764, 381, 432, 463
2 591, 382, 381, 216, 463
3 591, 191, 381, 108, 463
197, 191, 127, 36, 463

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

2 x 2 x 3 x 197 x 191 x 127 x 36 x 463 = 955802258064

Therefore, the lowest common multiple of 591,764,381,432,463 is 955802258064.

LCM Formula to Find Lowest Common Multiple of 591,764,381,432,463

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.

591 x 764 x 381 x 432 x 463 = 34408881290304

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.

591 : 1, 3, 197, 591

764 : 1, 2, 4, 191, 382, 764

381 : 1, 3, 127, 381

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,764,381,432,463, is 1.

Now, the common factors can be found like this.

591:3x 197

764:2x 2x 191

381:3x 127

432:2x 2x 2x 2x 3x 3x 3

463:463

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 34408881290304/(1x36)

LCM = 34408881290304/36

LCM = 955802258064

Thus, we can understand that the LCM of 591,764,381,432,463 is 955802258064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 764, 381, 432, 463

1. What is the LCM of 591, 764, 381, 432, 463?

Answer: LCM of 591, 764, 381, 432, 463 is 955802258064.

2. How to calculate the LCM of 591, 764, 381, 432, 463?

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 591, 764, 381, 432, 463.

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}.