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LCM of 485, 782, 315, 784, 810

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


Find the LCM of 485, 782, 315, 784, 810 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 485, 782, 315, 784, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,782,315,784,810

Given numbers are 485,782,315,784,810

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

The LCM of 485,782,315,784,810 is 12042581040.

Find LCM of 485,782,315,784,810 with Prime Factorization


2 485, 782, 315, 784, 810
3 485, 391, 315, 392, 405
3 485, 391, 105, 392, 135
5 485, 391, 35, 392, 45
7 97, 391, 7, 392, 9
97, 391, 1, 56, 9

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

2 x 3 x 3 x 5 x 7 x 97 x 391 x 1 x 56 x 9 = 12042581040

Therefore, the lowest common multiple of 485,782,315,784,810 is 12042581040.

LCM Formula to Find Lowest Common Multiple of 485,782,315,784,810

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.

485 x 782 x 315 x 784 x 810 = 75868260552000

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.

485 : 1, 5, 97, 485

782 : 1, 2, 17, 23, 34, 46, 391, 782

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,782,315,784,810, is 1.

Now, the common factors can be found like this.

485:5x 97

782:2x 17x 23

315:3x 3x 5x 7

784:2x 2x 2x 2x 7x 7

810:2x 3x 3x 3x 3x 5

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

2x 2x 3x 3x 5x 5x 7 = 6300

Therefore, the value for common factors is 6300.

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 = 75868260552000/(1x6300)

LCM = 75868260552000/6300

LCM = 12042581040

Thus, we can understand that the LCM of 485,782,315,784,810 is 12042581040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 782, 315, 784, 810

1. What is the LCM of 485, 782, 315, 784, 810?

Answer: LCM of 485, 782, 315, 784, 810 is 12042581040.

2. How to calculate the LCM of 485, 782, 315, 784, 810?

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 485, 782, 315, 784, 810.

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}.