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LCM of 793, 256, 364, 822

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


Find the LCM of 793, 256, 364, 822 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 793, 256, 364, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,256,364,822

Given numbers are 793,256,364,822

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

The LCM of 793,256,364,822 is 584054016.

Find LCM of 793,256,364,822 with Prime Factorization


2 793, 256, 364, 822
2 793, 128, 182, 411
13 793, 64, 91, 411
61, 64, 7, 411

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

2 x 2 x 13 x 61 x 64 x 7 x 411 = 584054016

Therefore, the lowest common multiple of 793,256,364,822 is 584054016.

LCM Formula to Find Lowest Common Multiple of 793,256,364,822

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.

793 x 256 x 364 x 822 = 60741617664

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.

793 : 1, 13, 61, 793

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,256,364,822, is 1.

Now, the common factors can be found like this.

793:13x 61

256:2x 2x 2x 2x 2x 2x 2x 2

364:2x 2x 7x 13

822:2x 3x 137

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 60741617664/(1x104)

LCM = 60741617664/104

LCM = 584054016

Thus, we can understand that the LCM of 793,256,364,822 is 584054016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 256, 364, 822

1. What is the LCM of 793, 256, 364, 822?

Answer: LCM of 793, 256, 364, 822 is 584054016.

2. How to calculate the LCM of 793, 256, 364, 822?

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 793, 256, 364, 822.

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}.