LCM of 797, 815, 432, 460, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 815, 432, 460, 833 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 797, 815, 432, 460, 833. So, keep reading to learn more.
Given numbers are 797,815,432,460,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,815,432,460,833 is 5376164073840.
Find LCM of 797,815,432,460,833 with Prime Factorization
| 2 | 797, 815, 432, 460, 833 |
| 2 | 797, 815, 216, 230, 833 |
| 5 | 797, 815, 108, 115, 833 |
| 797, 163, 108, 23, 833 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 797 x 163 x 108 x 23 x 833 = 5376164073840
Therefore, the lowest common multiple of 797,815,432,460,833 is 5376164073840.
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.
797 x 815 x 432 x 460 x 833 = 107523281476800
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.
797 : 1, 797
815 : 1, 5, 163, 815
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,815,432,460,833, is 1.
Now, the common factors can be found like this.
797:797
815:5x 163
432:2x 2x 2x 2x 3x 3x 3
460:2x 2x 5x 23
833:7x 7x 17
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 5 = 20
Therefore, the value for common factors is 20.
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 = 107523281476800/(1x20)
LCM = 107523281476800/20
LCM = 5376164073840
Thus, we can understand that the LCM of 797,815,432,460,833 is 5376164073840.
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FAQs on LCM of 797, 815, 432, 460, 833
1. What is the LCM of 797, 815, 432, 460, 833?
Answer: LCM of 797, 815, 432, 460, 833 is 5376164073840.
2. How to calculate the LCM of 797, 815, 432, 460, 833?
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 797, 815, 432, 460, 833.
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}.