LCM of 999, 255, 268, 920, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 255, 268, 920, 407 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 999, 255, 268, 920, 407. So, keep reading to learn more.
Given numbers are 999,255,268,920,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,255,268,920,407 is 11515153320.
Find LCM of 999,255,268,920,407 with Prime Factorization
| 2 | 999, 255, 268, 920, 407 |
| 2 | 999, 255, 134, 460, 407 |
| 3 | 999, 255, 67, 230, 407 |
| 5 | 333, 85, 67, 230, 407 |
| 37 | 333, 17, 67, 46, 407 |
| 9, 17, 67, 46, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 9 x 17 x 67 x 46 x 11 = 11515153320
Therefore, the lowest common multiple of 999,255,268,920,407 is 11515153320.
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.
999 x 255 x 268 x 920 x 407 = 25563640370400
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
255 : 1, 3, 5, 15, 17, 51, 85, 255
268 : 1, 2, 4, 67, 134, 268
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,255,268,920,407, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
255:3x 5x 17
268:2x 2x 67
920:2x 2x 2x 5x 23
407:11x 37
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 3x 5x 37 = 2220
Therefore, the value for common factors is 2220.
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 = 25563640370400/(1x2220)
LCM = 25563640370400/2220
LCM = 11515153320
Thus, we can understand that the LCM of 999,255,268,920,407 is 11515153320.
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FAQs on LCM of 999, 255, 268, 920, 407
1. What is the LCM of 999, 255, 268, 920, 407?
Answer: LCM of 999, 255, 268, 920, 407 is 11515153320.
2. How to calculate the LCM of 999, 255, 268, 920, 407?
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 999, 255, 268, 920, 407.
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}.