LCM of 448, 612, 960, 303, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 612, 960, 303, 813 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 448, 612, 960, 303, 813. So, keep reading to learn more.
Given numbers are 448,612,960,303,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,612,960,303,813 is 9380589120.
Find LCM of 448,612,960,303,813 with Prime Factorization
| 2 | 448, 612, 960, 303, 813 |
| 2 | 224, 306, 480, 303, 813 |
| 2 | 112, 153, 240, 303, 813 |
| 2 | 56, 153, 120, 303, 813 |
| 2 | 28, 153, 60, 303, 813 |
| 2 | 14, 153, 30, 303, 813 |
| 3 | 7, 153, 15, 303, 813 |
| 7, 51, 5, 101, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 51 x 5 x 101 x 271 = 9380589120
Therefore, the lowest common multiple of 448,612,960,303,813 is 9380589120.
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.
448 x 612 x 960 x 303 x 813 = 64838631997440
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
303 : 1, 3, 101, 303
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,612,960,303,813, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
612:2x 2x 3x 3x 17
960:2x 2x 2x 2x 2x 2x 3x 5
303:3x 101
813:3x 271
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 2x 2x 2x 3x 3x 3 = 6912
Therefore, the value for common factors is 6912.
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 = 64838631997440/(1x6912)
LCM = 64838631997440/6912
LCM = 9380589120
Thus, we can understand that the LCM of 448,612,960,303,813 is 9380589120.
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FAQs on LCM of 448, 612, 960, 303, 813
1. What is the LCM of 448, 612, 960, 303, 813?
Answer: LCM of 448, 612, 960, 303, 813 is 9380589120.
2. How to calculate the LCM of 448, 612, 960, 303, 813?
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 448, 612, 960, 303, 813.
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}.