Find the LCM of 696, 493, 789, 115, 480 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 696, 493, 789, 115, 480. So, keep reading to learn more.
Given numbers are 696,493,789,115,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,493,789,115,480 is 1431435360.
Find LCM of 696,493,789,115,480 with Prime Factorization
2 | 696, 493, 789, 115, 480 |
2 | 348, 493, 789, 115, 240 |
2 | 174, 493, 789, 115, 120 |
3 | 87, 493, 789, 115, 60 |
5 | 29, 493, 263, 115, 20 |
29 | 29, 493, 263, 23, 4 |
1, 17, 263, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 29 x 1 x 17 x 263 x 23 x 4 = 1431435360
Therefore, the lowest common multiple of 696,493,789,115,480 is 1431435360.
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.
696 x 493 x 789 x 115 x 480 = 14944185158400
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
493 : 1, 17, 29, 493
789 : 1, 3, 263, 789
115 : 1, 5, 23, 115
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,493,789,115,480, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
493:17x 29
789:3x 263
115:5x 23
480:2x 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 3x 3x 5x 29 = 10440
Therefore, the value for common factors is 10440.
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 = 14944185158400/(1x10440)
LCM = 14944185158400/10440
LCM = 1431435360
Thus, we can understand that the LCM of 696,493,789,115,480 is 1431435360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 696, 493, 789, 115, 480?
Answer: LCM of 696, 493, 789, 115, 480 is 1431435360.
2. How to calculate the LCM of 696, 493, 789, 115, 480?
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 696, 493, 789, 115, 480.
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}.