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LCM of 956, 996, 539, 589

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


Find the LCM of 956, 996, 539, 589 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 956, 996, 539, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,996,539,589

Given numbers are 956,996,539,589

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

The LCM of 956,996,539,589 is 75572066724.

Find LCM of 956,996,539,589 with Prime Factorization


2 956, 996, 539, 589
2 478, 498, 539, 589
239, 249, 539, 589

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

2 x 2 x 239 x 249 x 539 x 589 = 75572066724

Therefore, the lowest common multiple of 956,996,539,589 is 75572066724.

LCM Formula to Find Lowest Common Multiple of 956,996,539,589

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.

956 x 996 x 539 x 589 = 302288266896

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.

956 : 1, 2, 4, 239, 478, 956

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

539 : 1, 7, 11, 49, 77, 539

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,996,539,589, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

996:2x 2x 3x 83

539:7x 7x 11

589:19x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 302288266896/(1x4)

LCM = 302288266896/4

LCM = 75572066724

Thus, we can understand that the LCM of 956,996,539,589 is 75572066724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 996, 539, 589

1. What is the LCM of 956, 996, 539, 589?

Answer: LCM of 956, 996, 539, 589 is 75572066724.

2. How to calculate the LCM of 956, 996, 539, 589?

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 956, 996, 539, 589.

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}.