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LCM of 394, 266, 800, 905

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


Find the LCM of 394, 266, 800, 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 394, 266, 800, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,266,800,905

Given numbers are 394,266,800,905

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

The LCM of 394,266,800,905 is 3793904800.

Find LCM of 394,266,800,905 with Prime Factorization


2 394, 266, 800, 905
5 197, 133, 400, 905
197, 133, 80, 181

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

2 x 5 x 197 x 133 x 80 x 181 = 3793904800

Therefore, the lowest common multiple of 394,266,800,905 is 3793904800.

LCM Formula to Find Lowest Common Multiple of 394,266,800,905

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.

394 x 266 x 800 x 905 = 75878096000

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.

394 : 1, 2, 197, 394

266 : 1, 2, 7, 14, 19, 38, 133, 266

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,266,800,905, is 1.

Now, the common factors can be found like this.

394:2x 197

266:2x 7x 19

800:2x 2x 2x 2x 2x 5x 5

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.

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 75878096000/(1x20)

LCM = 75878096000/20

LCM = 3793904800

Thus, we can understand that the LCM of 394,266,800,905 is 3793904800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 266, 800, 905

1. What is the LCM of 394, 266, 800, 905?

Answer: LCM of 394, 266, 800, 905 is 3793904800.

2. How to calculate the LCM of 394, 266, 800, 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 394, 266, 800, 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}.