LCM of 814, 820, 917, 760, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 820, 917, 760, 592 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, 820, 917, 760, 592. So, keep reading to learn more.
Given numbers are 814,820,917,760,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,820,917,760,592 is 23259008080.
Find LCM of 814,820,917,760,592 with Prime Factorization
| 2 | 814, 820, 917, 760, 592 |
| 2 | 407, 410, 917, 380, 296 |
| 2 | 407, 205, 917, 190, 148 |
| 5 | 407, 205, 917, 95, 74 |
| 37 | 407, 41, 917, 19, 74 |
| 11, 41, 917, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 37 x 11 x 41 x 917 x 19 x 2 = 23259008080
Therefore, the lowest common multiple of 814,820,917,760,592 is 23259008080.
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 820 x 917 x 760 x 592 = 275386655667200
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
917 : 1, 7, 131, 917
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,820,917,760,592, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
820:2x 2x 5x 41
917:7x 131
760:2x 2x 2x 5x 19
592:2x 2x 2x 2x 37
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 5x 37 = 11840
Therefore, the value for common factors is 11840.
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 = 275386655667200/(1x11840)
LCM = 275386655667200/11840
LCM = 23259008080
Thus, we can understand that the LCM of 814,820,917,760,592 is 23259008080.
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FAQs on LCM of 814, 820, 917, 760, 592
1. What is the LCM of 814, 820, 917, 760, 592?
Answer: LCM of 814, 820, 917, 760, 592 is 23259008080.
2. How to calculate the LCM of 814, 820, 917, 760, 592?
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, 820, 917, 760, 592.
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}.