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LCM of 518, 138, 494, 529, 268

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


Find the LCM of 518, 138, 494, 529, 268 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 518, 138, 494, 529, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,138,494,529,268

Given numbers are 518,138,494,529,268

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

The LCM of 518,138,494,529,268 is 27208740468.

Find LCM of 518,138,494,529,268 with Prime Factorization


2 518, 138, 494, 529, 268
23 259, 69, 247, 529, 134
259, 3, 247, 23, 134

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

2 x 23 x 259 x 3 x 247 x 23 x 134 = 27208740468

Therefore, the lowest common multiple of 518,138,494,529,268 is 27208740468.

LCM Formula to Find Lowest Common Multiple of 518,138,494,529,268

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.

518 x 138 x 494 x 529 x 268 = 5006408246112

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

138 : 1, 2, 3, 6, 23, 46, 69, 138

494 : 1, 2, 13, 19, 26, 38, 247, 494

529 : 1, 23, 529

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,138,494,529,268, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

138:2x 3x 23

494:2x 13x 19

529:23x 23

268:2x 2x 67

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 23 = 184

Therefore, the value for common factors is 184.

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 = 5006408246112/(1x184)

LCM = 5006408246112/184

LCM = 27208740468

Thus, we can understand that the LCM of 518,138,494,529,268 is 27208740468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 138, 494, 529, 268

1. What is the LCM of 518, 138, 494, 529, 268?

Answer: LCM of 518, 138, 494, 529, 268 is 27208740468.

2. How to calculate the LCM of 518, 138, 494, 529, 268?

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 518, 138, 494, 529, 268.

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}.