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LCM of 517, 501, 541, 299, 993

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


Find the LCM of 517, 501, 541, 299, 993 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, 501, 541, 299, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,501,541,299,993

Given numbers are 517,501,541,299,993

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

The LCM of 517,501,541,299,993 is 13868347528893.

Find LCM of 517,501,541,299,993 with Prime Factorization


3 517, 501, 541, 299, 993
517, 167, 541, 299, 331

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

3 x 517 x 167 x 541 x 299 x 331 = 13868347528893

Therefore, the lowest common multiple of 517,501,541,299,993 is 13868347528893.

LCM Formula to Find Lowest Common Multiple of 517,501,541,299,993

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 501 x 541 x 299 x 993 = 41605042586679

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

501 : 1, 3, 167, 501

541 : 1, 541

299 : 1, 13, 23, 299

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,501,541,299,993, is 1.

Now, the common factors can be found like this.

517:11x 47

501:3x 167

541:541

299:13x 23

993:3x 331

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

3 = 3

Therefore, the value for common factors is 3.

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 = 41605042586679/(1x3)

LCM = 41605042586679/3

LCM = 13868347528893

Thus, we can understand that the LCM of 517,501,541,299,993 is 13868347528893.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 501, 541, 299, 993

1. What is the LCM of 517, 501, 541, 299, 993?

Answer: LCM of 517, 501, 541, 299, 993 is 13868347528893.

2. How to calculate the LCM of 517, 501, 541, 299, 993?

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, 501, 541, 299, 993.

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}.