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LCM of 914, 363, 851, 854, 908

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


Find the LCM of 914, 363, 851, 854, 908 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 914, 363, 851, 854, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,363,851,854,908

Given numbers are 914,363,851,854,908

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

The LCM of 914,363,851,854,908 is 54735124307556.

Find LCM of 914,363,851,854,908 with Prime Factorization


2 914, 363, 851, 854, 908
457, 363, 851, 427, 454

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

2 x 457 x 363 x 851 x 427 x 454 = 54735124307556

Therefore, the lowest common multiple of 914,363,851,854,908 is 54735124307556.

LCM Formula to Find Lowest Common Multiple of 914,363,851,854,908

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.

914 x 363 x 851 x 854 x 908 = 218940497230224

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.

914 : 1, 2, 457, 914

363 : 1, 3, 11, 33, 121, 363

851 : 1, 23, 37, 851

854 : 1, 2, 7, 14, 61, 122, 427, 854

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,363,851,854,908, is 1.

Now, the common factors can be found like this.

914:2x 457

363:3x 11x 11

851:23x 37

854:2x 7x 61

908:2x 2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 218940497230224/(1x4)

LCM = 218940497230224/4

LCM = 54735124307556

Thus, we can understand that the LCM of 914,363,851,854,908 is 54735124307556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 363, 851, 854, 908

1. What is the LCM of 914, 363, 851, 854, 908?

Answer: LCM of 914, 363, 851, 854, 908 is 54735124307556.

2. How to calculate the LCM of 914, 363, 851, 854, 908?

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 914, 363, 851, 854, 908.

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}.