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LCM of 518, 408, 221, 916

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


Find the LCM of 518, 408, 221, 916 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, 408, 221, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,408,221,916

Given numbers are 518,408,221,916

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

The LCM of 518,408,221,916 is 314585544.

Find LCM of 518,408,221,916 with Prime Factorization


2 518, 408, 221, 916
2 259, 204, 221, 458
17 259, 102, 221, 229
259, 6, 13, 229

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

2 x 2 x 17 x 259 x 6 x 13 x 229 = 314585544

Therefore, the lowest common multiple of 518,408,221,916 is 314585544.

LCM Formula to Find Lowest Common Multiple of 518,408,221,916

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 408 x 221 x 916 = 42783633984

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

221 : 1, 13, 17, 221

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,408,221,916, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

408:2x 2x 2x 3x 17

221:13x 17

916:2x 2x 229

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 17 = 136

Therefore, the value for common factors is 136.

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 = 42783633984/(1x136)

LCM = 42783633984/136

LCM = 314585544

Thus, we can understand that the LCM of 518,408,221,916 is 314585544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 408, 221, 916

1. What is the LCM of 518, 408, 221, 916?

Answer: LCM of 518, 408, 221, 916 is 314585544.

2. How to calculate the LCM of 518, 408, 221, 916?

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, 408, 221, 916.

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}.