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LCM of 845, 845, 923, 351, 243

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


Find the LCM of 845, 845, 923, 351, 243 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 845, 845, 923, 351, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,845,923,351,243

Given numbers are 845,845,923,351,243

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

The LCM of 845,845,923,351,243 is 14578785.

Find LCM of 845,845,923,351,243 with Prime Factorization


3 845, 845, 923, 351, 243
3 845, 845, 923, 117, 81
3 845, 845, 923, 39, 27
5 845, 845, 923, 13, 9
13 169, 169, 923, 13, 9
13 1, 13, 71, 13, 9
1, 1, 71, 1, 9

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

3 x 3 x 3 x 5 x 13 x 13 x 1 x 1 x 71 x 1 x 9 = 14578785

Therefore, the lowest common multiple of 845,845,923,351,243 is 14578785.

LCM Formula to Find Lowest Common Multiple of 845,845,923,351,243

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.

845 x 845 x 923 x 351 x 243 = 56211931581975

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.

845 : 1, 5, 13, 65, 169, 845

845 : 1, 5, 13, 65, 169, 845

923 : 1, 13, 71, 923

351 : 1, 3, 9, 13, 27, 39, 117, 351

243 : 1, 3, 9, 27, 81, 243

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,845,923,351,243, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

845:5x 13x 13

923:13x 71

351:3x 3x 3x 13

243:3x 3x 3x 3x 3

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 3x 5x 13x 13x 13x 13 = 3855735

Therefore, the value for common factors is 3855735.

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 = 56211931581975/(1x3855735)

LCM = 56211931581975/3855735

LCM = 14578785

Thus, we can understand that the LCM of 845,845,923,351,243 is 14578785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 845, 923, 351, 243

1. What is the LCM of 845, 845, 923, 351, 243?

Answer: LCM of 845, 845, 923, 351, 243 is 14578785.

2. How to calculate the LCM of 845, 845, 923, 351, 243?

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 845, 845, 923, 351, 243.

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}.