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LCM of 929, 916, 388, 909

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


Find the LCM of 929, 916, 388, 909 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 929, 916, 388, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,916,388,909

Given numbers are 929,916,388,909

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

The LCM of 929,916,388,909 is 75032048772.

Find LCM of 929,916,388,909 with Prime Factorization


2 929, 916, 388, 909
2 929, 458, 194, 909
929, 229, 97, 909

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

2 x 2 x 929 x 229 x 97 x 909 = 75032048772

Therefore, the lowest common multiple of 929,916,388,909 is 75032048772.

LCM Formula to Find Lowest Common Multiple of 929,916,388,909

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.

929 x 916 x 388 x 909 = 300128195088

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.

929 : 1, 929

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

388 : 1, 2, 4, 97, 194, 388

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,916,388,909, is 1.

Now, the common factors can be found like this.

929:929

916:2x 2x 229

388:2x 2x 97

909:3x 3x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 300128195088/(1x4)

LCM = 300128195088/4

LCM = 75032048772

Thus, we can understand that the LCM of 929,916,388,909 is 75032048772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 916, 388, 909

1. What is the LCM of 929, 916, 388, 909?

Answer: LCM of 929, 916, 388, 909 is 75032048772.

2. How to calculate the LCM of 929, 916, 388, 909?

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 929, 916, 388, 909.

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}.