LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 301, 394, 999, 910

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


Find the LCM of 301, 394, 999, 910 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 301, 394, 999, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,394,999,910

Given numbers are 301,394,999,910

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

The LCM of 301,394,999,910 is 7700901390.

Find LCM of 301,394,999,910 with Prime Factorization


2 301, 394, 999, 910
7 301, 197, 999, 455
43, 197, 999, 65

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

2 x 7 x 43 x 197 x 999 x 65 = 7700901390

Therefore, the lowest common multiple of 301,394,999,910 is 7700901390.

LCM Formula to Find Lowest Common Multiple of 301,394,999,910

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.

301 x 394 x 999 x 910 = 107812619460

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.

301 : 1, 7, 43, 301

394 : 1, 2, 197, 394

999 : 1, 3, 9, 27, 37, 111, 333, 999

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,394,999,910, is 1.

Now, the common factors can be found like this.

301:7x 43

394:2x 197

999:3x 3x 3x 37

910:2x 5x 7x 13

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 107812619460/(1x14)

LCM = 107812619460/14

LCM = 7700901390

Thus, we can understand that the LCM of 301,394,999,910 is 7700901390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 394, 999, 910

1. What is the LCM of 301, 394, 999, 910?

Answer: LCM of 301, 394, 999, 910 is 7700901390.

2. How to calculate the LCM of 301, 394, 999, 910?

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 301, 394, 999, 910.

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}.