LCM of 899, 820, 589, 372, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 820, 589, 372, 720 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 899, 820, 589, 372, 720. So, keep reading to learn more.
Given numbers are 899,820,589,372,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,820,589,372,720 is 504231120.
Find LCM of 899,820,589,372,720 with Prime Factorization
| 2 | 899, 820, 589, 372, 720 |
| 2 | 899, 410, 589, 186, 360 |
| 3 | 899, 205, 589, 93, 180 |
| 5 | 899, 205, 589, 31, 60 |
| 31 | 899, 41, 589, 31, 12 |
| 29, 41, 19, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 29 x 41 x 19 x 1 x 12 = 504231120
Therefore, the lowest common multiple of 899,820,589,372,720 is 504231120.
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.
899 x 820 x 589 x 372 x 720 = 116295865516800
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.
899 : 1, 29, 31, 899
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
589 : 1, 19, 31, 589
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,820,589,372,720, is 1.
Now, the common factors can be found like this.
899:29x 31
820:2x 2x 5x 41
589:19x 31
372:2x 2x 3x 31
720:2x 2x 2x 2x 3x 3x 5
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 3x 5x 31x 31 = 230640
Therefore, the value for common factors is 230640.
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 = 116295865516800/(1x230640)
LCM = 116295865516800/230640
LCM = 504231120
Thus, we can understand that the LCM of 899,820,589,372,720 is 504231120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 899, 820, 589, 372, 720
1. What is the LCM of 899, 820, 589, 372, 720?
Answer: LCM of 899, 820, 589, 372, 720 is 504231120.
2. How to calculate the LCM of 899, 820, 589, 372, 720?
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 899, 820, 589, 372, 720.
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}.