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LCM of 816, 734, 760, 897, 908

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


Find the LCM of 816, 734, 760, 897, 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 816, 734, 760, 897, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,734,760,897,908

Given numbers are 816,734,760,897,908

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

The LCM of 816,734,760,897,908 is 1930975990320.

Find LCM of 816,734,760,897,908 with Prime Factorization


2 816, 734, 760, 897, 908
2 408, 367, 380, 897, 454
2 204, 367, 190, 897, 227
3 102, 367, 95, 897, 227
34, 367, 95, 299, 227

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

2 x 2 x 2 x 3 x 34 x 367 x 95 x 299 x 227 = 1930975990320

Therefore, the lowest common multiple of 816,734,760,897,908 is 1930975990320.

LCM Formula to Find Lowest Common Multiple of 816,734,760,897,908

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.

816 x 734 x 760 x 897 x 908 = 370747390141440

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

734 : 1, 2, 367, 734

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

897 : 1, 3, 13, 23, 39, 69, 299, 897

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 816,734,760,897,908, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

734:2x 367

760:2x 2x 2x 5x 19

897:3x 13x 23

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 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 370747390141440/(1x192)

LCM = 370747390141440/192

LCM = 1930975990320

Thus, we can understand that the LCM of 816,734,760,897,908 is 1930975990320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 734, 760, 897, 908

1. What is the LCM of 816, 734, 760, 897, 908?

Answer: LCM of 816, 734, 760, 897, 908 is 1930975990320.

2. How to calculate the LCM of 816, 734, 760, 897, 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 816, 734, 760, 897, 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}.