LCM of 476, 915, 408, 891, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 915, 408, 891, 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 476, 915, 408, 891, 960. So, keep reading to learn more.
Given numbers are 476,915,408,891,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,915,408,891,960 is 2069686080.
Find LCM of 476,915,408,891,960 with Prime Factorization
| 2 | 476, 915, 408, 891, 960 |
| 2 | 238, 915, 204, 891, 480 |
| 2 | 119, 915, 102, 891, 240 |
| 3 | 119, 915, 51, 891, 120 |
| 5 | 119, 305, 17, 297, 40 |
| 17 | 119, 61, 17, 297, 8 |
| 7, 61, 1, 297, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 7 x 61 x 1 x 297 x 8 = 2069686080
Therefore, the lowest common multiple of 476,915,408,891,960 is 2069686080.
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.
476 x 915 x 408 x 891 x 960 = 151997745715200
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
915 : 1, 3, 5, 15, 61, 183, 305, 915
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 476,915,408,891,960, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
915:3x 5x 61
408:2x 2x 2x 3x 17
891:3x 3x 3x 3x 11
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 3x 3x 3x 5x 17 = 73440
Therefore, the value for common factors is 73440.
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 = 151997745715200/(1x73440)
LCM = 151997745715200/73440
LCM = 2069686080
Thus, we can understand that the LCM of 476,915,408,891,960 is 2069686080.
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FAQs on LCM of 476, 915, 408, 891, 960
1. What is the LCM of 476, 915, 408, 891, 960?
Answer: LCM of 476, 915, 408, 891, 960 is 2069686080.
2. How to calculate the LCM of 476, 915, 408, 891, 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 476, 915, 408, 891, 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}.