Find the LCM of 689, 871, 212, 243, 696 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 689, 871, 212, 243, 696. So, keep reading to learn more.
Given numbers are 689,871,212,243,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,871,212,243,696 is 2602485288.
Find LCM of 689,871,212,243,696 with Prime Factorization
2 | 689, 871, 212, 243, 696 |
2 | 689, 871, 106, 243, 348 |
3 | 689, 871, 53, 243, 174 |
13 | 689, 871, 53, 81, 58 |
53 | 53, 67, 53, 81, 58 |
1, 67, 1, 81, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 53 x 1 x 67 x 1 x 81 x 58 = 2602485288
Therefore, the lowest common multiple of 689,871,212,243,696 is 2602485288.
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.
689 x 871 x 212 x 243 x 696 = 21517348361184
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.
689 : 1, 13, 53, 689
871 : 1, 13, 67, 871
212 : 1, 2, 4, 53, 106, 212
243 : 1, 3, 9, 27, 81, 243
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,871,212,243,696, is 1.
Now, the common factors can be found like this.
689:13x 53
871:13x 67
212:2x 2x 53
243:3x 3x 3x 3x 3
696:2x 2x 2x 3x 29
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 3x 13x 53 = 8268
Therefore, the value for common factors is 8268.
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 = 21517348361184/(1x8268)
LCM = 21517348361184/8268
LCM = 2602485288
Thus, we can understand that the LCM of 689,871,212,243,696 is 2602485288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 871, 212, 243, 696?
Answer: LCM of 689, 871, 212, 243, 696 is 2602485288.
2. How to calculate the LCM of 689, 871, 212, 243, 696?
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 689, 871, 212, 243, 696.
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}.