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LCM of 529, 301, 398, 843, 542

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


Find the LCM of 529, 301, 398, 843, 542 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 529, 301, 398, 843, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,301,398,843,542

Given numbers are 529,301,398,843,542

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

The LCM of 529,301,398,843,542 is 14477784409326.

Find LCM of 529,301,398,843,542 with Prime Factorization


2 529, 301, 398, 843, 542
529, 301, 199, 843, 271

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

2 x 529 x 301 x 199 x 843 x 271 = 14477784409326

Therefore, the lowest common multiple of 529,301,398,843,542 is 14477784409326.

LCM Formula to Find Lowest Common Multiple of 529,301,398,843,542

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.

529 x 301 x 398 x 843 x 542 = 28955568818652

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.

529 : 1, 23, 529

301 : 1, 7, 43, 301

398 : 1, 2, 199, 398

843 : 1, 3, 281, 843

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,301,398,843,542, is 1.

Now, the common factors can be found like this.

529:23x 23

301:7x 43

398:2x 199

843:3x 281

542:2x 271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28955568818652/(1x2)

LCM = 28955568818652/2

LCM = 14477784409326

Thus, we can understand that the LCM of 529,301,398,843,542 is 14477784409326.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 301, 398, 843, 542

1. What is the LCM of 529, 301, 398, 843, 542?

Answer: LCM of 529, 301, 398, 843, 542 is 14477784409326.

2. How to calculate the LCM of 529, 301, 398, 843, 542?

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 529, 301, 398, 843, 542.

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}.