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LCM of 313, 485, 843, 194, 161

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


Find the LCM of 313, 485, 843, 194, 161 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 313, 485, 843, 194, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,485,843,194,161

Given numbers are 313,485,843,194,161

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

The LCM of 313,485,843,194,161 is 41206860030.

Find LCM of 313,485,843,194,161 with Prime Factorization


97 313, 485, 843, 194, 161
313, 5, 843, 2, 161

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

97 x 313 x 5 x 843 x 2 x 161 = 41206860030

Therefore, the lowest common multiple of 313,485,843,194,161 is 41206860030.

LCM Formula to Find Lowest Common Multiple of 313,485,843,194,161

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.

313 x 485 x 843 x 194 x 161 = 3997065422910

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.

313 : 1, 313

485 : 1, 5, 97, 485

843 : 1, 3, 281, 843

194 : 1, 2, 97, 194

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,485,843,194,161, is 1.

Now, the common factors can be found like this.

313:313

485:5x 97

843:3x 281

194:2x 97

161:7x 23

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

97 = 97

Therefore, the value for common factors is 97.

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 = 3997065422910/(1x97)

LCM = 3997065422910/97

LCM = 41206860030

Thus, we can understand that the LCM of 313,485,843,194,161 is 41206860030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 485, 843, 194, 161

1. What is the LCM of 313, 485, 843, 194, 161?

Answer: LCM of 313, 485, 843, 194, 161 is 41206860030.

2. How to calculate the LCM of 313, 485, 843, 194, 161?

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 313, 485, 843, 194, 161.

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}.