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LCM of 863, 923, 936, 114, 789

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


Find the LCM of 863, 923, 936, 114, 789 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 863, 923, 936, 114, 789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,923,936,114,789

Given numbers are 863,923,936,114,789

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

The LCM of 863,923,936,114,789 is 286585585416.

Find LCM of 863,923,936,114,789 with Prime Factorization


2 863, 923, 936, 114, 789
3 863, 923, 468, 57, 789
13 863, 923, 156, 19, 263
863, 71, 12, 19, 263

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

2 x 3 x 13 x 863 x 71 x 12 x 19 x 263 = 286585585416

Therefore, the lowest common multiple of 863,923,936,114,789 is 286585585416.

LCM Formula to Find Lowest Common Multiple of 863,923,936,114,789

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.

863 x 923 x 936 x 114 x 789 = 67061026987344

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.

863 : 1, 863

923 : 1, 13, 71, 923

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

114 : 1, 2, 3, 6, 19, 38, 57, 114

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,923,936,114,789, is 1.

Now, the common factors can be found like this.

863:863

923:13x 71

936:2x 2x 2x 3x 3x 13

114:2x 3x 19

789:3x 263

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 67061026987344/(1x234)

LCM = 67061026987344/234

LCM = 286585585416

Thus, we can understand that the LCM of 863,923,936,114,789 is 286585585416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 923, 936, 114, 789

1. What is the LCM of 863, 923, 936, 114, 789?

Answer: LCM of 863, 923, 936, 114, 789 is 286585585416.

2. How to calculate the LCM of 863, 923, 936, 114, 789?

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 863, 923, 936, 114, 789.

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}.