LCM of 504, 640, 960, 990, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 640, 960, 990, 268 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 504, 640, 960, 990, 268. So, keep reading to learn more.
Given numbers are 504,640,960,990,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,640,960,990,268 is 29715840.
Find LCM of 504,640,960,990,268 with Prime Factorization
| 2 | 504, 640, 960, 990, 268 |
| 2 | 252, 320, 480, 495, 134 |
| 2 | 126, 160, 240, 495, 67 |
| 2 | 63, 80, 120, 495, 67 |
| 2 | 63, 40, 60, 495, 67 |
| 2 | 63, 20, 30, 495, 67 |
| 3 | 63, 10, 15, 495, 67 |
| 3 | 21, 10, 5, 165, 67 |
| 5 | 7, 10, 5, 55, 67 |
| 7, 2, 1, 11, 67 |
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 3 x 5 x 7 x 2 x 1 x 11 x 67 = 29715840
Therefore, the lowest common multiple of 504,640,960,990,268 is 29715840.
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.
504 x 640 x 960 x 990 x 268 = 82158354432000
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
268 : 1, 2, 4, 67, 134, 268
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,640,960,990,268, is 2.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
640:2x 2x 2x 2x 2x 2x 2x 5
960:2x 2x 2x 2x 2x 2x 3x 5
990:2x 3x 3x 5x 11
268:2x 2x 67
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 2x 2x 2x 3x 3x 3x 5x 5 = 1382400
Therefore, the value for common factors is 1382400.
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 = 82158354432000/(2x1382400)
LCM = 82158354432000/2764800
LCM = 29715840
Thus, we can understand that the LCM of 504,640,960,990,268 is 29715840.
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FAQs on LCM of 504, 640, 960, 990, 268
1. What is the LCM of 504, 640, 960, 990, 268?
Answer: LCM of 504, 640, 960, 990, 268 is 29715840.
2. How to calculate the LCM of 504, 640, 960, 990, 268?
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 504, 640, 960, 990, 268.
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}.