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LCM of 433, 891, 917, 861, 413

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


Find the LCM of 433, 891, 917, 861, 413 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 433, 891, 917, 861, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,891,917,861,413

Given numbers are 433,891,917,861,413

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

The LCM of 433,891,917,861,413 is 855797088069.

Find LCM of 433,891,917,861,413 with Prime Factorization


3 433, 891, 917, 861, 413
7 433, 297, 917, 287, 413
433, 297, 131, 41, 59

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

3 x 7 x 433 x 297 x 131 x 41 x 59 = 855797088069

Therefore, the lowest common multiple of 433,891,917,861,413 is 855797088069.

LCM Formula to Find Lowest Common Multiple of 433,891,917,861,413

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.

433 x 891 x 917 x 861 x 413 = 125802171946143

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.

433 : 1, 433

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

917 : 1, 7, 131, 917

861 : 1, 3, 7, 21, 41, 123, 287, 861

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,891,917,861,413, is 1.

Now, the common factors can be found like this.

433:433

891:3x 3x 3x 3x 11

917:7x 131

861:3x 7x 41

413:7x 59

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 125802171946143/(1x147)

LCM = 125802171946143/147

LCM = 855797088069

Thus, we can understand that the LCM of 433,891,917,861,413 is 855797088069.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 891, 917, 861, 413

1. What is the LCM of 433, 891, 917, 861, 413?

Answer: LCM of 433, 891, 917, 861, 413 is 855797088069.

2. How to calculate the LCM of 433, 891, 917, 861, 413?

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 433, 891, 917, 861, 413.

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}.