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LCM of 914, 916, 396, 817

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


Find the LCM of 914, 916, 396, 817 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, 916, 396, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,916,396,817

Given numbers are 914,916,396,817

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

The LCM of 914,916,396,817 is 33858594396.

Find LCM of 914,916,396,817 with Prime Factorization


2 914, 916, 396, 817
2 457, 458, 198, 817
457, 229, 99, 817

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

2 x 2 x 457 x 229 x 99 x 817 = 33858594396

Therefore, the lowest common multiple of 914,916,396,817 is 33858594396.

LCM Formula to Find Lowest Common Multiple of 914,916,396,817

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 916 x 396 x 817 = 270868755168

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

916 : 1, 2, 4, 229, 458, 916

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,916,396,817, is 1.

Now, the common factors can be found like this.

914:2x 457

916:2x 2x 229

396:2x 2x 3x 3x 11

817:19x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 270868755168/(1x8)

LCM = 270868755168/8

LCM = 33858594396

Thus, we can understand that the LCM of 914,916,396,817 is 33858594396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 916, 396, 817

1. What is the LCM of 914, 916, 396, 817?

Answer: LCM of 914, 916, 396, 817 is 33858594396.

2. How to calculate the LCM of 914, 916, 396, 817?

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, 916, 396, 817.

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}.