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LCM of 591, 963, 170, 608

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


Find the LCM of 591, 963, 170, 608 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, 963, 170, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,963,170,608

Given numbers are 591,963,170,608

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

The LCM of 591,963,170,608 is 9804264480.

Find LCM of 591,963,170,608 with Prime Factorization


2 591, 963, 170, 608
3 591, 963, 85, 304
197, 321, 85, 304

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

2 x 3 x 197 x 321 x 85 x 304 = 9804264480

Therefore, the lowest common multiple of 591,963,170,608 is 9804264480.

LCM Formula to Find Lowest Common Multiple of 591,963,170,608

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 963 x 170 x 608 = 58825586880

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

963 : 1, 3, 9, 107, 321, 963

170 : 1, 2, 5, 10, 17, 34, 85, 170

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,963,170,608, is 1.

Now, the common factors can be found like this.

591:3x 197

963:3x 3x 107

170:2x 5x 17

608:2x 2x 2x 2x 2x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 58825586880/(1x6)

LCM = 58825586880/6

LCM = 9804264480

Thus, we can understand that the LCM of 591,963,170,608 is 9804264480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 963, 170, 608

1. What is the LCM of 591, 963, 170, 608?

Answer: LCM of 591, 963, 170, 608 is 9804264480.

2. How to calculate the LCM of 591, 963, 170, 608?

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, 963, 170, 608.

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}.