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LCM of 591, 591, 499, 904

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


Find the LCM of 591, 591, 499, 904 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, 591, 499, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,591,499,904

Given numbers are 591,591,499,904

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

The LCM of 591,591,499,904 is 266597736.

Find LCM of 591,591,499,904 with Prime Factorization


3 591, 591, 499, 904
197 197, 197, 499, 904
1, 1, 499, 904

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

3 x 197 x 1 x 1 x 499 x 904 = 266597736

Therefore, the lowest common multiple of 591,591,499,904 is 266597736.

LCM Formula to Find Lowest Common Multiple of 591,591,499,904

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 591 x 499 x 904 = 157559261976

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

591 : 1, 3, 197, 591

499 : 1, 499

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,591,499,904, is 1.

Now, the common factors can be found like this.

591:3x 197

591:3x 197

499:499

904:2x 2x 2x 113

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

3x 197 = 591

Therefore, the value for common factors is 591.

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 = 157559261976/(1x591)

LCM = 157559261976/591

LCM = 266597736

Thus, we can understand that the LCM of 591,591,499,904 is 266597736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 591, 499, 904

1. What is the LCM of 591, 591, 499, 904?

Answer: LCM of 591, 591, 499, 904 is 266597736.

2. How to calculate the LCM of 591, 591, 499, 904?

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, 591, 499, 904.

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}.