LCM of 800, 720, 210, 471, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 720, 210, 471, 789 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, 720, 210, 471, 789. So, keep reading to learn more.
Given numbers are 800,720,210,471,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,720,210,471,789 is 2081066400.
Find LCM of 800,720,210,471,789 with Prime Factorization
| 2 | 800, 720, 210, 471, 789 |
| 2 | 400, 360, 105, 471, 789 |
| 2 | 200, 180, 105, 471, 789 |
| 2 | 100, 90, 105, 471, 789 |
| 3 | 50, 45, 105, 471, 789 |
| 5 | 50, 15, 35, 157, 263 |
| 10, 3, 7, 157, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 10 x 3 x 7 x 157 x 263 = 2081066400
Therefore, the lowest common multiple of 800,720,210,471,789 is 2081066400.
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 720 x 210 x 471 x 789 = 44951034240000
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
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
471 : 1, 3, 157, 471
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,720,210,471,789, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
720:2x 2x 2x 2x 3x 3x 5
210:2x 3x 5x 7
471:3x 157
789:3x 263
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 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 44951034240000/(1x21600)
LCM = 44951034240000/21600
LCM = 2081066400
Thus, we can understand that the LCM of 800,720,210,471,789 is 2081066400.
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FAQs on LCM of 800, 720, 210, 471, 789
1. What is the LCM of 800, 720, 210, 471, 789?
Answer: LCM of 800, 720, 210, 471, 789 is 2081066400.
2. How to calculate the LCM of 800, 720, 210, 471, 789?
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, 720, 210, 471, 789.
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}.