LCM of 478, 519, 696, 458, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 519, 696, 458, 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 478, 519, 696, 458, 960. So, keep reading to learn more.
Given numbers are 478,519,696,458,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,519,696,458,960 is 263602009920.
Find LCM of 478,519,696,458,960 with Prime Factorization
| 2 | 478, 519, 696, 458, 960 |
| 2 | 239, 519, 348, 229, 480 |
| 2 | 239, 519, 174, 229, 240 |
| 3 | 239, 519, 87, 229, 120 |
| 239, 173, 29, 229, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 239 x 173 x 29 x 229 x 40 = 263602009920
Therefore, the lowest common multiple of 478,519,696,458,960 is 263602009920.
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.
478 x 519 x 696 x 458 x 960 = 75917378856960
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.
478 : 1, 2, 239, 478
519 : 1, 3, 173, 519
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
458 : 1, 2, 229, 458
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 478,519,696,458,960, is 1.
Now, the common factors can be found like this.
478:2x 239
519:3x 173
696:2x 2x 2x 3x 29
458:2x 229
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 3 = 288
Therefore, the value for common factors is 288.
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 = 75917378856960/(1x288)
LCM = 75917378856960/288
LCM = 263602009920
Thus, we can understand that the LCM of 478,519,696,458,960 is 263602009920.
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FAQs on LCM of 478, 519, 696, 458, 960
1. What is the LCM of 478, 519, 696, 458, 960?
Answer: LCM of 478, 519, 696, 458, 960 is 263602009920.
2. How to calculate the LCM of 478, 519, 696, 458, 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 478, 519, 696, 458, 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}.