LCM of 579, 864, 685, 120, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 864, 685, 120, 960 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 579, 864, 685, 120, 960. So, keep reading to learn more.
Given numbers are 579,864,685,120,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,864,685,120,960 is 228450240.
Find LCM of 579,864,685,120,960 with Prime Factorization
| 2 | 579, 864, 685, 120, 960 |
| 2 | 579, 432, 685, 60, 480 |
| 2 | 579, 216, 685, 30, 240 |
| 2 | 579, 108, 685, 15, 120 |
| 2 | 579, 54, 685, 15, 60 |
| 3 | 579, 27, 685, 15, 30 |
| 5 | 193, 9, 685, 5, 10 |
| 193, 9, 137, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 193 x 9 x 137 x 1 x 2 = 228450240
Therefore, the lowest common multiple of 579,864,685,120,960 is 228450240.
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.
579 x 864 x 685 x 120 x 960 = 39476201472000
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.
579 : 1, 3, 193, 579
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
685 : 1, 5, 137, 685
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,864,685,120,960, is 1.
Now, the common factors can be found like this.
579:3x 193
864:2x 2x 2x 2x 2x 3x 3x 3
685:5x 137
120:2x 2x 2x 3x 5
960:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3x 3x 5x 5 = 172800
Therefore, the value for common factors is 172800.
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 = 39476201472000/(1x172800)
LCM = 39476201472000/172800
LCM = 228450240
Thus, we can understand that the LCM of 579,864,685,120,960 is 228450240.
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FAQs on LCM of 579, 864, 685, 120, 960
1. What is the LCM of 579, 864, 685, 120, 960?
Answer: LCM of 579, 864, 685, 120, 960 is 228450240.
2. How to calculate the LCM of 579, 864, 685, 120, 960?
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 579, 864, 685, 120, 960.
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}.