LCM of 480, 450, 813, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 450, 813, 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 480, 450, 813, 720. So, keep reading to learn more.
Given numbers are 480,450,813,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,450,813,720 is 1951200.
Find LCM of 480,450,813,720 with Prime Factorization
| 2 | 480, 450, 813, 720 |
| 2 | 240, 225, 813, 360 |
| 2 | 120, 225, 813, 180 |
| 2 | 60, 225, 813, 90 |
| 3 | 30, 225, 813, 45 |
| 3 | 10, 75, 271, 15 |
| 5 | 10, 25, 271, 5 |
| 2, 1, 271, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 2 x 1 x 271 x 5 = 1951200
Therefore, the lowest common multiple of 480,450,813,720 is 1951200.
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.
480 x 450 x 813 x 720 = 126437760000
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
813 : 1, 3, 271, 813
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,450,813,720, is 3.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
450:2x 3x 3x 5x 5
813:3x 271
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 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 = 126437760000/(3x21600)
LCM = 126437760000/64800
LCM = 1951200
Thus, we can understand that the LCM of 480,450,813,720 is 1951200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 480, 450, 813, 720
1. What is the LCM of 480, 450, 813, 720?
Answer: LCM of 480, 450, 813, 720 is 1951200.
2. How to calculate the LCM of 480, 450, 813, 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 480, 450, 813, 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}.