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LCM of 489, 793, 913, 780

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


Find the LCM of 489, 793, 913, 780 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, 793, 913, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,793,913,780

Given numbers are 489,793,913,780

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

The LCM of 489,793,913,780 is 7080808020.

Find LCM of 489,793,913,780 with Prime Factorization


3 489, 793, 913, 780
13 163, 793, 913, 260
163, 61, 913, 20

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

3 x 13 x 163 x 61 x 913 x 20 = 7080808020

Therefore, the lowest common multiple of 489,793,913,780 is 7080808020.

LCM Formula to Find Lowest Common Multiple of 489,793,913,780

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 793 x 913 x 780 = 276151512780

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

793 : 1, 13, 61, 793

913 : 1, 11, 83, 913

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,793,913,780, is 1.

Now, the common factors can be found like this.

489:3x 163

793:13x 61

913:11x 83

780:2x 2x 3x 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.

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 276151512780/(1x39)

LCM = 276151512780/39

LCM = 7080808020

Thus, we can understand that the LCM of 489,793,913,780 is 7080808020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 793, 913, 780

1. What is the LCM of 489, 793, 913, 780?

Answer: LCM of 489, 793, 913, 780 is 7080808020.

2. How to calculate the LCM of 489, 793, 913, 780?

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, 793, 913, 780.

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}.