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LCM of 591, 975, 327, 376

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


Find the LCM of 591, 975, 327, 376 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, 975, 327, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,975,327,376

Given numbers are 591,975,327,376

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

The LCM of 591,975,327,376 is 7872001800.

Find LCM of 591,975,327,376 with Prime Factorization


3 591, 975, 327, 376
197, 325, 109, 376

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

3 x 197 x 325 x 109 x 376 = 7872001800

Therefore, the lowest common multiple of 591,975,327,376 is 7872001800.

LCM Formula to Find Lowest Common Multiple of 591,975,327,376

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 975 x 327 x 376 = 70848016200

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

327 : 1, 3, 109, 327

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,975,327,376, is 1.

Now, the common factors can be found like this.

591:3x 197

975:3x 5x 5x 13

327:3x 109

376:2x 2x 2x 47

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 70848016200/(1x9)

LCM = 70848016200/9

LCM = 7872001800

Thus, we can understand that the LCM of 591,975,327,376 is 7872001800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 975, 327, 376

1. What is the LCM of 591, 975, 327, 376?

Answer: LCM of 591, 975, 327, 376 is 7872001800.

2. How to calculate the LCM of 591, 975, 327, 376?

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, 975, 327, 376.

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}.