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LCM of 489, 377, 979, 520

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


Find the LCM of 489, 377, 979, 520 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, 377, 979, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,377,979,520

Given numbers are 489,377,979,520

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

The LCM of 489,377,979,520 is 7219263480.

Find LCM of 489,377,979,520 with Prime Factorization


13 489, 377, 979, 520
489, 29, 979, 40

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

13 x 489 x 29 x 979 x 40 = 7219263480

Therefore, the lowest common multiple of 489,377,979,520 is 7219263480.

LCM Formula to Find Lowest Common Multiple of 489,377,979,520

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 377 x 979 x 520 = 93850425240

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

377 : 1, 13, 29, 377

979 : 1, 11, 89, 979

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,377,979,520, is 1.

Now, the common factors can be found like this.

489:3x 163

377:13x 29

979:11x 89

520:2x 2x 2x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 93850425240/(1x13)

LCM = 93850425240/13

LCM = 7219263480

Thus, we can understand that the LCM of 489,377,979,520 is 7219263480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 377, 979, 520

1. What is the LCM of 489, 377, 979, 520?

Answer: LCM of 489, 377, 979, 520 is 7219263480.

2. How to calculate the LCM of 489, 377, 979, 520?

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, 377, 979, 520.

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}.