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LCM of 489, 791, 791

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


Find the LCM of 489, 791, 791 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, 791, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,791,791

Given numbers are 489,791,791

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

The LCM of 489,791,791 is 386799.

Find LCM of 489,791,791 with Prime Factorization


7 489, 791, 791
113 489, 113, 113
489, 1, 1

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

7 x 113 x 489 x 1 x 1 = 386799

Therefore, the lowest common multiple of 489,791,791 is 386799.

LCM Formula to Find Lowest Common Multiple of 489,791,791

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 791 x 791 = 305958009

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

791 : 1, 7, 113, 791

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,791,791, is 1.

Now, the common factors can be found like this.

489:3x 163

791:7x 113

791:7x 113

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

7x 113 = 791

Therefore, the value for common factors is 791.

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 = 305958009/(1x791)

LCM = 305958009/791

LCM = 386799

Thus, we can understand that the LCM of 489,791,791 is 386799.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 489, 791, 791

1. What is the LCM of 489, 791, 791?

Answer: LCM of 489, 791, 791 is 386799.

2. How to calculate the LCM of 489, 791, 791?

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, 791, 791.

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}.