LCM of 814, 616, 231, 797, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 616, 231, 797, 705 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 814, 616, 231, 797, 705. So, keep reading to learn more.
Given numbers are 814,616,231,797,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,616,231,797,705 is 12806482920.
Find LCM of 814,616,231,797,705 with Prime Factorization
| 2 | 814, 616, 231, 797, 705 |
| 3 | 407, 308, 231, 797, 705 |
| 7 | 407, 308, 77, 797, 235 |
| 11 | 407, 44, 11, 797, 235 |
| 37, 4, 1, 797, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 37 x 4 x 1 x 797 x 235 = 12806482920
Therefore, the lowest common multiple of 814,616,231,797,705 is 12806482920.
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.
814 x 616 x 231 x 797 x 705 = 65082546199440
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
231 : 1, 3, 7, 11, 21, 33, 77, 231
797 : 1, 797
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,616,231,797,705, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
616:2x 2x 2x 7x 11
231:3x 7x 11
797:797
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 11 = 5082
Therefore, the value for common factors is 5082.
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 = 65082546199440/(1x5082)
LCM = 65082546199440/5082
LCM = 12806482920
Thus, we can understand that the LCM of 814,616,231,797,705 is 12806482920.
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FAQs on LCM of 814, 616, 231, 797, 705
1. What is the LCM of 814, 616, 231, 797, 705?
Answer: LCM of 814, 616, 231, 797, 705 is 12806482920.
2. How to calculate the LCM of 814, 616, 231, 797, 705?
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 814, 616, 231, 797, 705.
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}.