LCM of 800, 585, 417, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 585, 417, 843 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 800, 585, 417, 843. So, keep reading to learn more.
Given numbers are 800,585,417,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,585,417,843 is 3655922400.
Find LCM of 800,585,417,843 with Prime Factorization
| 3 | 800, 585, 417, 843 |
| 5 | 800, 195, 139, 281 |
| 160, 39, 139, 281 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 160 x 39 x 139 x 281 = 3655922400
Therefore, the lowest common multiple of 800,585,417,843 is 3655922400.
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.
800 x 585 x 417 x 843 = 164516508000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
417 : 1, 3, 139, 417
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,585,417,843, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
585:3x 3x 5x 13
417:3x 139
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 164516508000/(1x45)
LCM = 164516508000/45
LCM = 3655922400
Thus, we can understand that the LCM of 800,585,417,843 is 3655922400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 800, 585, 417, 843
1. What is the LCM of 800, 585, 417, 843?
Answer: LCM of 800, 585, 417, 843 is 3655922400.
2. How to calculate the LCM of 800, 585, 417, 843?
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 800, 585, 417, 843.
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}.