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LCM of 382, 675, 489, 597, 709

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


Find the LCM of 382, 675, 489, 597, 709 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 382, 675, 489, 597, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,675,489,597,709

Given numbers are 382,675,489,597,709

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

The LCM of 382,675,489,597,709 is 5929991239050.

Find LCM of 382,675,489,597,709 with Prime Factorization


3 382, 675, 489, 597, 709
382, 225, 163, 199, 709

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

3 x 382 x 225 x 163 x 199 x 709 = 5929991239050

Therefore, the lowest common multiple of 382,675,489,597,709 is 5929991239050.

LCM Formula to Find Lowest Common Multiple of 382,675,489,597,709

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.

382 x 675 x 489 x 597 x 709 = 53369921151450

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.

382 : 1, 2, 191, 382

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

489 : 1, 3, 163, 489

597 : 1, 3, 199, 597

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,675,489,597,709, is 1.

Now, the common factors can be found like this.

382:2x 191

675:3x 3x 3x 5x 5

489:3x 163

597:3x 199

709:709

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 53369921151450/(1x9)

LCM = 53369921151450/9

LCM = 5929991239050

Thus, we can understand that the LCM of 382,675,489,597,709 is 5929991239050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 675, 489, 597, 709

1. What is the LCM of 382, 675, 489, 597, 709?

Answer: LCM of 382, 675, 489, 597, 709 is 5929991239050.

2. How to calculate the LCM of 382, 675, 489, 597, 709?

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 382, 675, 489, 597, 709.

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}.