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LCM of 489, 445, 758, 380

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


Find the LCM of 489, 445, 758, 380 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 489, 445, 758, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,445,758,380

Given numbers are 489,445,758,380

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

The LCM of 489,445,758,380 is 6267894420.

Find LCM of 489,445,758,380 with Prime Factorization


2 489, 445, 758, 380
5 489, 445, 379, 190
489, 89, 379, 38

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

2 x 5 x 489 x 89 x 379 x 38 = 6267894420

Therefore, the lowest common multiple of 489,445,758,380 is 6267894420.

LCM Formula to Find Lowest Common Multiple of 489,445,758,380

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.

489 x 445 x 758 x 380 = 62678944200

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.

489 : 1, 3, 163, 489

445 : 1, 5, 89, 445

758 : 1, 2, 379, 758

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,445,758,380, is 1.

Now, the common factors can be found like this.

489:3x 163

445:5x 89

758:2x 379

380:2x 2x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 62678944200/(1x10)

LCM = 62678944200/10

LCM = 6267894420

Thus, we can understand that the LCM of 489,445,758,380 is 6267894420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 445, 758, 380

1. What is the LCM of 489, 445, 758, 380?

Answer: LCM of 489, 445, 758, 380 is 6267894420.

2. How to calculate the LCM of 489, 445, 758, 380?

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 489, 445, 758, 380.

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}.