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 517, 363, 566, 327, 233

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


Find the LCM of 517, 363, 566, 327, 233 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 517, 363, 566, 327, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,363,566,327,233

Given numbers are 517,363,566,327,233

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

The LCM of 517,363,566,327,233 is 245246790822.

Find LCM of 517,363,566,327,233 with Prime Factorization


3 517, 363, 566, 327, 233
11 517, 121, 566, 109, 233
47, 11, 566, 109, 233

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

3 x 11 x 47 x 11 x 566 x 109 x 233 = 245246790822

Therefore, the lowest common multiple of 517,363,566,327,233 is 245246790822.

LCM Formula to Find Lowest Common Multiple of 517,363,566,327,233

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.

517 x 363 x 566 x 327 x 233 = 8093144097126

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.

517 : 1, 11, 47, 517

363 : 1, 3, 11, 33, 121, 363

566 : 1, 2, 283, 566

327 : 1, 3, 109, 327

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,363,566,327,233, is 1.

Now, the common factors can be found like this.

517:11x 47

363:3x 11x 11

566:2x 283

327:3x 109

233:233

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 8093144097126/(1x33)

LCM = 8093144097126/33

LCM = 245246790822

Thus, we can understand that the LCM of 517,363,566,327,233 is 245246790822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 363, 566, 327, 233

1. What is the LCM of 517, 363, 566, 327, 233?

Answer: LCM of 517, 363, 566, 327, 233 is 245246790822.

2. How to calculate the LCM of 517, 363, 566, 327, 233?

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 517, 363, 566, 327, 233.

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}.