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 509, 327, 407, 109

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


Find the LCM of 509, 327, 407, 109 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 509, 327, 407, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 509,327,407,109

Given numbers are 509,327,407,109

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

The LCM of 509,327,407,109 is 67742301.

Find LCM of 509,327,407,109 with Prime Factorization


109 509, 327, 407, 109
509, 3, 407, 1

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

109 x 509 x 3 x 407 x 1 = 67742301

Therefore, the lowest common multiple of 509,327,407,109 is 67742301.

LCM Formula to Find Lowest Common Multiple of 509,327,407,109

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.

509 x 327 x 407 x 109 = 7383910809

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.

509 : 1, 509

327 : 1, 3, 109, 327

407 : 1, 11, 37, 407

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,327,407,109, is 1.

Now, the common factors can be found like this.

509:509

327:3x 109

407:11x 37

109:109

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

109 = 109

Therefore, the value for common factors is 109.

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 = 7383910809/(1x109)

LCM = 7383910809/109

LCM = 67742301

Thus, we can understand that the LCM of 509,327,407,109 is 67742301.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 509, 327, 407, 109

1. What is the LCM of 509, 327, 407, 109?

Answer: LCM of 509, 327, 407, 109 is 67742301.

2. How to calculate the LCM of 509, 327, 407, 109?

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 509, 327, 407, 109.

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}.