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LCM of 617, 382, 465, 589

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


Find the LCM of 617, 382, 465, 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 617, 382, 465, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,382,465,589

Given numbers are 617,382,465,589

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

The LCM of 617,382,465,589 is 2082356490.

Find LCM of 617,382,465,589 with Prime Factorization


31 617, 382, 465, 589
617, 382, 15, 19

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

31 x 617 x 382 x 15 x 19 = 2082356490

Therefore, the lowest common multiple of 617,382,465,589 is 2082356490.

LCM Formula to Find Lowest Common Multiple of 617,382,465,589

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.

617 x 382 x 465 x 589 = 64553051190

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.

617 : 1, 617

382 : 1, 2, 191, 382

465 : 1, 3, 5, 15, 31, 93, 155, 465

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,382,465,589, is 1.

Now, the common factors can be found like this.

617:617

382:2x 191

465:3x 5x 31

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.

31 = 31

Therefore, the value for common factors is 31.

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 = 64553051190/(1x31)

LCM = 64553051190/31

LCM = 2082356490

Thus, we can understand that the LCM of 617,382,465,589 is 2082356490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 382, 465, 589

1. What is the LCM of 617, 382, 465, 589?

Answer: LCM of 617, 382, 465, 589 is 2082356490.

2. How to calculate the LCM of 617, 382, 465, 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 617, 382, 465, 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}.