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LCM of 903, 656, 857, 645, 917

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


Find the LCM of 903, 656, 857, 645, 917 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 903, 656, 857, 645, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,656,857,645,917

Given numbers are 903,656,857,645,917

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

The LCM of 903,656,857,645,917 is 332516891280.

Find LCM of 903,656,857,645,917 with Prime Factorization


3 903, 656, 857, 645, 917
7 301, 656, 857, 215, 917
43 43, 656, 857, 215, 131
1, 656, 857, 5, 131

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

3 x 7 x 43 x 1 x 656 x 857 x 5 x 131 = 332516891280

Therefore, the lowest common multiple of 903,656,857,645,917 is 332516891280.

LCM Formula to Find Lowest Common Multiple of 903,656,857,645,917

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.

903 x 656 x 857 x 645 x 917 = 300262752825840

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

857 : 1, 857

645 : 1, 3, 5, 15, 43, 129, 215, 645

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,656,857,645,917, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

656:2x 2x 2x 2x 41

857:857

645:3x 5x 43

917:7x 131

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 43 = 903

Therefore, the value for common factors is 903.

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 = 300262752825840/(1x903)

LCM = 300262752825840/903

LCM = 332516891280

Thus, we can understand that the LCM of 903,656,857,645,917 is 332516891280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 656, 857, 645, 917

1. What is the LCM of 903, 656, 857, 645, 917?

Answer: LCM of 903, 656, 857, 645, 917 is 332516891280.

2. How to calculate the LCM of 903, 656, 857, 645, 917?

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 903, 656, 857, 645, 917.

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}.