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 327, 218, 586, 558

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


Find the LCM of 327, 218, 586, 558 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 327, 218, 586, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,218,586,558

Given numbers are 327,218,586,558

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

The LCM of 327,218,586,558 is 17820846.

Find LCM of 327,218,586,558 with Prime Factorization


2 327, 218, 586, 558
3 327, 109, 293, 279
109 109, 109, 293, 93
1, 1, 293, 93

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

2 x 3 x 109 x 1 x 1 x 293 x 93 = 17820846

Therefore, the lowest common multiple of 327,218,586,558 is 17820846.

LCM Formula to Find Lowest Common Multiple of 327,218,586,558

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.

327 x 218 x 586 x 558 = 23309666568

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.

327 : 1, 3, 109, 327

218 : 1, 2, 109, 218

586 : 1, 2, 293, 586

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,218,586,558, is 1.

Now, the common factors can be found like this.

327:3x 109

218:2x 109

586:2x 293

558:2x 3x 3x 31

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 3x 109 = 1308

Therefore, the value for common factors is 1308.

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 = 23309666568/(1x1308)

LCM = 23309666568/1308

LCM = 17820846

Thus, we can understand that the LCM of 327,218,586,558 is 17820846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 218, 586, 558

1. What is the LCM of 327, 218, 586, 558?

Answer: LCM of 327, 218, 586, 558 is 17820846.

2. How to calculate the LCM of 327, 218, 586, 558?

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 327, 218, 586, 558.

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}.