LCM of 794, 323, 927, 416, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 323, 927, 416, 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 794, 323, 927, 416, 960. So, keep reading to learn more.
Given numbers are 794,323,927,416,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,323,927,416,960 is 494499769920.
Find LCM of 794,323,927,416,960 with Prime Factorization
| 2 | 794, 323, 927, 416, 960 |
| 2 | 397, 323, 927, 208, 480 |
| 2 | 397, 323, 927, 104, 240 |
| 2 | 397, 323, 927, 52, 120 |
| 2 | 397, 323, 927, 26, 60 |
| 3 | 397, 323, 927, 13, 30 |
| 397, 323, 309, 13, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 397 x 323 x 309 x 13 x 10 = 494499769920
Therefore, the lowest common multiple of 794,323,927,416,960 is 494499769920.
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.
794 x 323 x 927 x 416 x 960 = 94943955824640
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.
794 : 1, 2, 397, 794
323 : 1, 17, 19, 323
927 : 1, 3, 9, 103, 309, 927
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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 794,323,927,416,960, is 1.
Now, the common factors can be found like this.
794:2x 397
323:17x 19
927:3x 3x 103
416:2x 2x 2x 2x 2x 13
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 3 = 192
Therefore, the value for common factors is 192.
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 = 94943955824640/(1x192)
LCM = 94943955824640/192
LCM = 494499769920
Thus, we can understand that the LCM of 794,323,927,416,960 is 494499769920.
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FAQs on LCM of 794, 323, 927, 416, 960
1. What is the LCM of 794, 323, 927, 416, 960?
Answer: LCM of 794, 323, 927, 416, 960 is 494499769920.
2. How to calculate the LCM of 794, 323, 927, 416, 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 794, 323, 927, 416, 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}.