What are the Factors of 9664772040 ?

Factors of 9664772040 are . There are integers that are factors of 9664772040.

How to Find the LCM of 489, 744, 759, 945 ?

Least Common Multiple of 489, 744, 759, 945 = 9664772040 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(489, 744, 759, 945) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 23 x 31 x 163 = 9664772040.

What are the Factors of 9664772040 ?

Factors of 9664772040 are . There are integers that are factors of 9664772040.

How to Find the LCM of 489, 744, 759, 945 ?

Least Common Multiple of 489, 744, 759, 945 = 9664772040 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(489, 744, 759, 945) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 23 x 31 x 163 = 9664772040.

LCM of 489, 744, 759, 945

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

Find the LCM of 489, 744, 759, 945 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, 744, 759, 945. So, keep reading to learn more.

Calculate the LCM of 489,744,759,945

Given numbers are 489,744,759,945

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

The LCM of 489,744,759,945 is 9664772040.

Find LCM of 489,744,759,945 with Prime Factorization

3	489, 744, 759, 945
	163, 248, 253, 315

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

3 x 163 x 248 x 253 x 315 = 9664772040

Therefore, the lowest common multiple of 489,744,759,945 is 9664772040.

LCM Formula to Find Lowest Common Multiple of 489,744,759,945

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 744 x 759 x 945 = 260948845080

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

759 : 1, 3, 11, 23, 33, 69, 253, 759

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,744,759,945, is 3.

Now, the common factors can be found like this.

489:3x 163

744:2x 2x 2x 3x 31

759:3x 11x 23

945:3x 3x 3x 5x 7

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 = 260948845080/(3x9)

LCM = 260948845080/27

LCM = 9664772040

Thus, we can understand that the LCM of 489,744,759,945 is 9664772040.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 489, 744, 759, 945

1. What is the LCM of 489, 744, 759, 945?

Answer: LCM of 489, 744, 759, 945 is 9664772040.

2. How to calculate the LCM of 489, 744, 759, 945?

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, 744, 759, 945.

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}.