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LCM of 518, 333, 424, 515

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


Find the LCM of 518, 333, 424, 515 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, 333, 424, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,333,424,515

Given numbers are 518,333,424,515

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

The LCM of 518,333,424,515 is 508997160.

Find LCM of 518,333,424,515 with Prime Factorization


2 518, 333, 424, 515
37 259, 333, 212, 515
7, 9, 212, 515

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

2 x 37 x 7 x 9 x 212 x 515 = 508997160

Therefore, the lowest common multiple of 518,333,424,515 is 508997160.

LCM Formula to Find Lowest Common Multiple of 518,333,424,515

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 333 x 424 x 515 = 37665789840

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

333 : 1, 3, 9, 37, 111, 333

424 : 1, 2, 4, 8, 53, 106, 212, 424

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,333,424,515, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

333:3x 3x 37

424:2x 2x 2x 53

515:5x 103

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 37665789840/(1x74)

LCM = 37665789840/74

LCM = 508997160

Thus, we can understand that the LCM of 518,333,424,515 is 508997160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 333, 424, 515

1. What is the LCM of 518, 333, 424, 515?

Answer: LCM of 518, 333, 424, 515 is 508997160.

2. How to calculate the LCM of 518, 333, 424, 515?

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, 333, 424, 515.

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}.