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 412, 130, 299, 903

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


Find the LCM of 412, 130, 299, 903 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 412, 130, 299, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,130,299,903

Given numbers are 412,130,299,903

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

The LCM of 412,130,299,903 is 556193820.

Find LCM of 412,130,299,903 with Prime Factorization


2 412, 130, 299, 903
13 206, 65, 299, 903
206, 5, 23, 903

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

2 x 13 x 206 x 5 x 23 x 903 = 556193820

Therefore, the lowest common multiple of 412,130,299,903 is 556193820.

LCM Formula to Find Lowest Common Multiple of 412,130,299,903

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.

412 x 130 x 299 x 903 = 14461039320

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.

412 : 1, 2, 4, 103, 206, 412

130 : 1, 2, 5, 10, 13, 26, 65, 130

299 : 1, 13, 23, 299

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,130,299,903, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

130:2x 5x 13

299:13x 23

903:3x 7x 43

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 14461039320/(1x26)

LCM = 14461039320/26

LCM = 556193820

Thus, we can understand that the LCM of 412,130,299,903 is 556193820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 130, 299, 903

1. What is the LCM of 412, 130, 299, 903?

Answer: LCM of 412, 130, 299, 903 is 556193820.

2. How to calculate the LCM of 412, 130, 299, 903?

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 412, 130, 299, 903.

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}.