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LCM of 589, 133, 277, 582

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


Find the LCM of 589, 133, 277, 582 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 589, 133, 277, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,133,277,582

Given numbers are 589,133,277,582

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

The LCM of 589,133,277,582 is 664685322.

Find LCM of 589,133,277,582 with Prime Factorization


19 589, 133, 277, 582
31, 7, 277, 582

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

19 x 31 x 7 x 277 x 582 = 664685322

Therefore, the lowest common multiple of 589,133,277,582 is 664685322.

LCM Formula to Find Lowest Common Multiple of 589,133,277,582

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.

589 x 133 x 277 x 582 = 12629021118

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.

589 : 1, 19, 31, 589

133 : 1, 7, 19, 133

277 : 1, 277

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,133,277,582, is 1.

Now, the common factors can be found like this.

589:19x 31

133:7x 19

277:277

582:2x 3x 97

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

19 = 19

Therefore, the value for common factors is 19.

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 = 12629021118/(1x19)

LCM = 12629021118/19

LCM = 664685322

Thus, we can understand that the LCM of 589,133,277,582 is 664685322.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 133, 277, 582

1. What is the LCM of 589, 133, 277, 582?

Answer: LCM of 589, 133, 277, 582 is 664685322.

2. How to calculate the LCM of 589, 133, 277, 582?

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 589, 133, 277, 582.

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}.