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LCM of 9, 378, 879, 905

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


Find the LCM of 9, 378, 879, 905 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 9, 378, 879, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,378,879,905

Given numbers are 9,378,879,905

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

The LCM of 9,378,879,905 is 100232370.

Find LCM of 9,378,879,905 with Prime Factorization


3 9, 378, 879, 905
3 3, 126, 293, 905
1, 42, 293, 905

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

3 x 3 x 1 x 42 x 293 x 905 = 100232370

Therefore, the lowest common multiple of 9,378,879,905 is 100232370.

LCM Formula to Find Lowest Common Multiple of 9,378,879,905

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.

9 x 378 x 879 x 905 = 2706273990

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.

9 : 1, 3, 9

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

879 : 1, 3, 293, 879

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,378,879,905, is 1.

Now, the common factors can be found like this.

9:3x 3

378:2x 3x 3x 3x 7

879:3x 293

905:5x 181

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 3 = 27

Therefore, the value for common factors is 27.

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 = 2706273990/(1x27)

LCM = 2706273990/27

LCM = 100232370

Thus, we can understand that the LCM of 9,378,879,905 is 100232370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 378, 879, 905

1. What is the LCM of 9, 378, 879, 905?

Answer: LCM of 9, 378, 879, 905 is 100232370.

2. How to calculate the LCM of 9, 378, 879, 905?

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 9, 378, 879, 905.

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}.