LCM of 960, 675, 887, 600, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 675, 887, 600, 845 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 960, 675, 887, 600, 845. So, keep reading to learn more.
Given numbers are 960,675,887,600,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,675,887,600,845 is 6475809600.
Find LCM of 960,675,887,600,845 with Prime Factorization
| 2 | 960, 675, 887, 600, 845 |
| 2 | 480, 675, 887, 300, 845 |
| 2 | 240, 675, 887, 150, 845 |
| 3 | 120, 675, 887, 75, 845 |
| 5 | 40, 225, 887, 25, 845 |
| 5 | 8, 45, 887, 5, 169 |
| 8, 9, 887, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 8 x 9 x 887 x 1 x 169 = 6475809600
Therefore, the lowest common multiple of 960,675,887,600,845 is 6475809600.
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.
960 x 675 x 887 x 600 x 845 = 291411432000000
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.
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
887 : 1, 887
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,675,887,600,845, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
675:3x 3x 3x 5x 5
887:887
600:2x 2x 2x 3x 5x 5
845:5x 13x 13
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 3x 3x 5x 5x 5x 5 = 45000
Therefore, the value for common factors is 45000.
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 = 291411432000000/(1x45000)
LCM = 291411432000000/45000
LCM = 6475809600
Thus, we can understand that the LCM of 960,675,887,600,845 is 6475809600.
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FAQs on LCM of 960, 675, 887, 600, 845
1. What is the LCM of 960, 675, 887, 600, 845?
Answer: LCM of 960, 675, 887, 600, 845 is 6475809600.
2. How to calculate the LCM of 960, 675, 887, 600, 845?
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 960, 675, 887, 600, 845.
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}.