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LCM of 815, 753, 960, 315

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


Find the LCM of 815, 753, 960, 315 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 815, 753, 960, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,753,960,315

Given numbers are 815,753,960,315

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

The LCM of 815,753,960,315 is 824806080.

Find LCM of 815,753,960,315 with Prime Factorization


3 815, 753, 960, 315
5 815, 251, 320, 105
163, 251, 64, 21

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

3 x 5 x 163 x 251 x 64 x 21 = 824806080

Therefore, the lowest common multiple of 815,753,960,315 is 824806080.

LCM Formula to Find Lowest Common Multiple of 815,753,960,315

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.

815 x 753 x 960 x 315 = 185581368000

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.

815 : 1, 5, 163, 815

753 : 1, 3, 251, 753

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,753,960,315, is 1.

Now, the common factors can be found like this.

815:5x 163

753:3x 251

960:2x 2x 2x 2x 2x 2x 3x 5

315:3x 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 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 185581368000/(1x225)

LCM = 185581368000/225

LCM = 824806080

Thus, we can understand that the LCM of 815,753,960,315 is 824806080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 753, 960, 315

1. What is the LCM of 815, 753, 960, 315?

Answer: LCM of 815, 753, 960, 315 is 824806080.

2. How to calculate the LCM of 815, 753, 960, 315?

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 815, 753, 960, 315.

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}.