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LCM of 816, 331, 331, 908

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


Find the LCM of 816, 331, 331, 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, 331, 331, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,331,331,908

Given numbers are 816,331,331,908

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

The LCM of 816,331,331,908 is 61311792.

Find LCM of 816,331,331,908 with Prime Factorization


2 816, 331, 331, 908
2 408, 331, 331, 454
331 204, 331, 331, 227
204, 1, 1, 227

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

2 x 2 x 331 x 204 x 1 x 1 x 227 = 61311792

Therefore, the lowest common multiple of 816,331,331,908 is 61311792.

LCM Formula to Find Lowest Common Multiple of 816,331,331,908

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 331 x 331 x 908 = 81176812608

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

331 : 1, 331

331 : 1, 331

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 816,331,331,908, is 1.

Now, the common factors can be found like this.

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

331:331

331:331

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 331 = 1324

Therefore, the value for common factors is 1324.

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 = 81176812608/(1x1324)

LCM = 81176812608/1324

LCM = 61311792

Thus, we can understand that the LCM of 816,331,331,908 is 61311792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 331, 331, 908

1. What is the LCM of 816, 331, 331, 908?

Answer: LCM of 816, 331, 331, 908 is 61311792.

2. How to calculate the LCM of 816, 331, 331, 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, 331, 331, 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}.