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LCM of 518, 217, 703, 287

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


Find the LCM of 518, 217, 703, 287 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, 217, 703, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,217,703,287

Given numbers are 518,217,703,287

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

The LCM of 518,217,703,287 is 12509182.

Find LCM of 518,217,703,287 with Prime Factorization


7 518, 217, 703, 287
37 74, 31, 703, 41
2, 31, 19, 41

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

7 x 37 x 2 x 31 x 19 x 41 = 12509182

Therefore, the lowest common multiple of 518,217,703,287 is 12509182.

LCM Formula to Find Lowest Common Multiple of 518,217,703,287

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 217 x 703 x 287 = 22679146966

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

217 : 1, 7, 31, 217

703 : 1, 19, 37, 703

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,217,703,287, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

217:7x 31

703:19x 37

287:7x 41

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

7x 7x 37 = 1813

Therefore, the value for common factors is 1813.

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 = 22679146966/(1x1813)

LCM = 22679146966/1813

LCM = 12509182

Thus, we can understand that the LCM of 518,217,703,287 is 12509182.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 217, 703, 287

1. What is the LCM of 518, 217, 703, 287?

Answer: LCM of 518, 217, 703, 287 is 12509182.

2. How to calculate the LCM of 518, 217, 703, 287?

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, 217, 703, 287.

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}.