LCM of 480, 716, 286, 696, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 716, 286, 696, 794 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 480, 716, 286, 696, 794. So, keep reading to learn more.
Given numbers are 480,716,286,696,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,716,286,696,794 is 141455165280.
Find LCM of 480,716,286,696,794 with Prime Factorization
| 2 | 480, 716, 286, 696, 794 |
| 2 | 240, 358, 143, 348, 397 |
| 2 | 120, 179, 143, 174, 397 |
| 3 | 60, 179, 143, 87, 397 |
| 20, 179, 143, 29, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 20 x 179 x 143 x 29 x 397 = 141455165280
Therefore, the lowest common multiple of 480,716,286,696,794 is 141455165280.
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.
480 x 716 x 286 x 696 x 794 = 54318783467520
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
716 : 1, 2, 4, 179, 358, 716
286 : 1, 2, 11, 13, 22, 26, 143, 286
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,716,286,696,794, is 2.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
716:2x 2x 179
286:2x 11x 13
696:2x 2x 2x 3x 29
794:2x 397
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 = 54318783467520/(2x192)
LCM = 54318783467520/384
LCM = 141455165280
Thus, we can understand that the LCM of 480,716,286,696,794 is 141455165280.
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FAQs on LCM of 480, 716, 286, 696, 794
1. What is the LCM of 480, 716, 286, 696, 794?
Answer: LCM of 480, 716, 286, 696, 794 is 141455165280.
2. How to calculate the LCM of 480, 716, 286, 696, 794?
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 480, 716, 286, 696, 794.
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}.