LCM of 505, 960, 877, 217, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 960, 877, 217, 434 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 505, 960, 877, 217, 434. So, keep reading to learn more.
Given numbers are 505,960,877,217,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,960,877,217,434 is 18452360640.
Find LCM of 505,960,877,217,434 with Prime Factorization
| 2 | 505, 960, 877, 217, 434 |
| 5 | 505, 480, 877, 217, 217 |
| 7 | 101, 96, 877, 217, 217 |
| 31 | 101, 96, 877, 31, 31 |
| 101, 96, 877, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 31 x 101 x 96 x 877 x 1 x 1 = 18452360640
Therefore, the lowest common multiple of 505,960,877,217,434 is 18452360640.
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.
505 x 960 x 877 x 217 x 434 = 40041622588800
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.
505 : 1, 5, 101, 505
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
877 : 1, 877
217 : 1, 7, 31, 217
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,960,877,217,434, is 1.
Now, the common factors can be found like this.
505:5x 101
960:2x 2x 2x 2x 2x 2x 3x 5
877:877
217:7x 31
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 31 = 2170
Therefore, the value for common factors is 2170.
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 = 40041622588800/(1x2170)
LCM = 40041622588800/2170
LCM = 18452360640
Thus, we can understand that the LCM of 505,960,877,217,434 is 18452360640.
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FAQs on LCM of 505, 960, 877, 217, 434
1. What is the LCM of 505, 960, 877, 217, 434?
Answer: LCM of 505, 960, 877, 217, 434 is 18452360640.
2. How to calculate the LCM of 505, 960, 877, 217, 434?
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 505, 960, 877, 217, 434.
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}.