LCM of 811, 775, 822, 341, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 775, 822, 341, 822 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 811, 775, 822, 341, 822. So, keep reading to learn more.
Given numbers are 811,775,822,341,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,775,822,341,822 is 5683123050.
Find LCM of 811,775,822,341,822 with Prime Factorization
| 2 | 811, 775, 822, 341, 822 |
| 3 | 811, 775, 411, 341, 411 |
| 31 | 811, 775, 137, 341, 137 |
| 137 | 811, 25, 137, 11, 137 |
| 811, 25, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 137 x 811 x 25 x 1 x 11 x 1 = 5683123050
Therefore, the lowest common multiple of 811,775,822,341,822 is 5683123050.
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.
811 x 775 x 822 x 341 x 822 = 144817341560100
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.
811 : 1, 811
775 : 1, 5, 25, 31, 155, 775
822 : 1, 2, 3, 6, 137, 274, 411, 822
341 : 1, 11, 31, 341
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,775,822,341,822, is 1.
Now, the common factors can be found like this.
811:811
775:5x 5x 31
822:2x 3x 137
341:11x 31
822:2x 3x 137
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 31x 137 = 25482
Therefore, the value for common factors is 25482.
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 = 144817341560100/(1x25482)
LCM = 144817341560100/25482
LCM = 5683123050
Thus, we can understand that the LCM of 811,775,822,341,822 is 5683123050.
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FAQs on LCM of 811, 775, 822, 341, 822
1. What is the LCM of 811, 775, 822, 341, 822?
Answer: LCM of 811, 775, 822, 341, 822 is 5683123050.
2. How to calculate the LCM of 811, 775, 822, 341, 822?
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 811, 775, 822, 341, 822.
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}.