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LCM of 813, 696, 582, 446

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


Find the LCM of 813, 696, 582, 446 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 813, 696, 582, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,696,582,446

Given numbers are 813,696,582,446

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

The LCM of 813,696,582,446 is 4079952696.

Find LCM of 813,696,582,446 with Prime Factorization


2 813, 696, 582, 446
3 813, 348, 291, 223
271, 116, 97, 223

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

2 x 3 x 271 x 116 x 97 x 223 = 4079952696

Therefore, the lowest common multiple of 813,696,582,446 is 4079952696.

LCM Formula to Find Lowest Common Multiple of 813,696,582,446

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.

813 x 696 x 582 x 446 = 146878297056

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.

813 : 1, 3, 271, 813

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

582 : 1, 2, 3, 6, 97, 194, 291, 582

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,696,582,446, is 1.

Now, the common factors can be found like this.

813:3x 271

696:2x 2x 2x 3x 29

582:2x 3x 97

446:2x 223

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 3 = 36

Therefore, the value for common factors is 36.

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 = 146878297056/(1x36)

LCM = 146878297056/36

LCM = 4079952696

Thus, we can understand that the LCM of 813,696,582,446 is 4079952696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 696, 582, 446

1. What is the LCM of 813, 696, 582, 446?

Answer: LCM of 813, 696, 582, 446 is 4079952696.

2. How to calculate the LCM of 813, 696, 582, 446?

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 813, 696, 582, 446.

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}.