Find the LCM of 696, 898, 208, 646, 143 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, 898, 208, 646, 143. So, keep reading to learn more.
Given numbers are 696,898,208,646,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,898,208,646,143 is 28868494512.
Find LCM of 696,898,208,646,143 with Prime Factorization
2 | 696, 898, 208, 646, 143 |
2 | 348, 449, 104, 323, 143 |
2 | 174, 449, 52, 323, 143 |
13 | 87, 449, 26, 323, 143 |
87, 449, 2, 323, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 87 x 449 x 2 x 323 x 11 = 28868494512
Therefore, the lowest common multiple of 696,898,208,646,143 is 28868494512.
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 898 x 208 x 646 x 143 = 12009293716992
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
898 : 1, 2, 449, 898
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
646 : 1, 2, 17, 19, 34, 38, 323, 646
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,898,208,646,143, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
898:2x 449
208:2x 2x 2x 2x 13
646:2x 17x 19
143:11x 13
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 13 = 416
Therefore, the value for common factors is 416.
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 = 12009293716992/(1x416)
LCM = 12009293716992/416
LCM = 28868494512
Thus, we can understand that the LCM of 696,898,208,646,143 is 28868494512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 696, 898, 208, 646, 143?
Answer: LCM of 696, 898, 208, 646, 143 is 28868494512.
2. How to calculate the LCM of 696, 898, 208, 646, 143?
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, 898, 208, 646, 143.
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}.