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LCM of 789, 847, 945, 858, 889

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


Find the LCM of 789, 847, 945, 858, 889 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 789, 847, 945, 858, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,847,945,858,889

Given numbers are 789,847,945,858,889

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

The LCM of 789,847,945,858,889 is 99300170970.

Find LCM of 789,847,945,858,889 with Prime Factorization


3 789, 847, 945, 858, 889
7 263, 847, 315, 286, 889
11 263, 121, 45, 286, 127
263, 11, 45, 26, 127

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

3 x 7 x 11 x 263 x 11 x 45 x 26 x 127 = 99300170970

Therefore, the lowest common multiple of 789,847,945,858,889 is 99300170970.

LCM Formula to Find Lowest Common Multiple of 789,847,945,858,889

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.

789 x 847 x 945 x 858 x 889 = 481705129375470

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.

789 : 1, 3, 263, 789

847 : 1, 7, 11, 77, 121, 847

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,847,945,858,889, is 1.

Now, the common factors can be found like this.

789:3x 263

847:7x 11x 11

945:3x 3x 3x 5x 7

858:2x 3x 11x 13

889:7x 127

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

3x 3x 7x 7x 11 = 4851

Therefore, the value for common factors is 4851.

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 = 481705129375470/(1x4851)

LCM = 481705129375470/4851

LCM = 99300170970

Thus, we can understand that the LCM of 789,847,945,858,889 is 99300170970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 847, 945, 858, 889

1. What is the LCM of 789, 847, 945, 858, 889?

Answer: LCM of 789, 847, 945, 858, 889 is 99300170970.

2. How to calculate the LCM of 789, 847, 945, 858, 889?

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 789, 847, 945, 858, 889.

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}.