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 309, 502, 242, 880, 558

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


Find the LCM of 309, 502, 242, 880, 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 309, 502, 242, 880, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,502,242,880,558

Given numbers are 309,502,242,880,558

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

The LCM of 309,502,242,880,558 is 69821714160.

Find LCM of 309,502,242,880,558 with Prime Factorization


2 309, 502, 242, 880, 558
3 309, 251, 121, 440, 279
11 103, 251, 121, 440, 93
103, 251, 11, 40, 93

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

2 x 3 x 11 x 103 x 251 x 11 x 40 x 93 = 69821714160

Therefore, the lowest common multiple of 309,502,242,880,558 is 69821714160.

LCM Formula to Find Lowest Common Multiple of 309,502,242,880,558

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.

309 x 502 x 242 x 880 x 558 = 18432932538240

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.

309 : 1, 3, 103, 309

502 : 1, 2, 251, 502

242 : 1, 2, 11, 22, 121, 242

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 309,502,242,880,558, is 1.

Now, the common factors can be found like this.

309:3x 103

502:2x 251

242:2x 11x 11

880:2x 2x 2x 2x 5x 11

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 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 18432932538240/(1x264)

LCM = 18432932538240/264

LCM = 69821714160

Thus, we can understand that the LCM of 309,502,242,880,558 is 69821714160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 502, 242, 880, 558

1. What is the LCM of 309, 502, 242, 880, 558?

Answer: LCM of 309, 502, 242, 880, 558 is 69821714160.

2. How to calculate the LCM of 309, 502, 242, 880, 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 309, 502, 242, 880, 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}.