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LCM of 849, 992, 408, 515, 232

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


Find the LCM of 849, 992, 408, 515, 232 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 849, 992, 408, 515, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,992,408,515,232

Given numbers are 849,992,408,515,232

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

The LCM of 849,992,408,515,232 is 213832400160.

Find LCM of 849,992,408,515,232 with Prime Factorization


2 849, 992, 408, 515, 232
2 849, 496, 204, 515, 116
2 849, 248, 102, 515, 58
3 849, 124, 51, 515, 29
283, 124, 17, 515, 29

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

2 x 2 x 2 x 3 x 283 x 124 x 17 x 515 x 29 = 213832400160

Therefore, the lowest common multiple of 849,992,408,515,232 is 213832400160.

LCM Formula to Find Lowest Common Multiple of 849,992,408,515,232

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.

849 x 992 x 408 x 515 x 232 = 41055820830720

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.

849 : 1, 3, 283, 849

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

515 : 1, 5, 103, 515

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,992,408,515,232, is 1.

Now, the common factors can be found like this.

849:3x 283

992:2x 2x 2x 2x 2x 31

408:2x 2x 2x 3x 17

515:5x 103

232:2x 2x 2x 29

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 41055820830720/(1x192)

LCM = 41055820830720/192

LCM = 213832400160

Thus, we can understand that the LCM of 849,992,408,515,232 is 213832400160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 992, 408, 515, 232

1. What is the LCM of 849, 992, 408, 515, 232?

Answer: LCM of 849, 992, 408, 515, 232 is 213832400160.

2. How to calculate the LCM of 849, 992, 408, 515, 232?

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 849, 992, 408, 515, 232.

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}.