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LCM of 819, 911, 911, 457

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


Find the LCM of 819, 911, 911, 457 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 819, 911, 911, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,911,911,457

Given numbers are 819,911,911,457

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

The LCM of 819,911,911,457 is 340971813.

Find LCM of 819,911,911,457 with Prime Factorization


911 819, 911, 911, 457
819, 1, 1, 457

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

911 x 819 x 1 x 1 x 457 = 340971813

Therefore, the lowest common multiple of 819,911,911,457 is 340971813.

LCM Formula to Find Lowest Common Multiple of 819,911,911,457

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.

819 x 911 x 911 x 457 = 310625321643

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

911 : 1, 911

911 : 1, 911

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,911,911,457, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

911:911

911:911

457:457

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

911 = 911

Therefore, the value for common factors is 911.

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 = 310625321643/(1x911)

LCM = 310625321643/911

LCM = 340971813

Thus, we can understand that the LCM of 819,911,911,457 is 340971813.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 911, 911, 457

1. What is the LCM of 819, 911, 911, 457?

Answer: LCM of 819, 911, 911, 457 is 340971813.

2. How to calculate the LCM of 819, 911, 911, 457?

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 819, 911, 911, 457.

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}.