Find the LCM of 704, 589, 783, 217, 822 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 704, 589, 783, 217, 822. So, keep reading to learn more.
Given numbers are 704,589,783,217,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,589,783,217,822 is 311363946432.
Find LCM of 704,589,783,217,822 with Prime Factorization
2 | 704, 589, 783, 217, 822 |
3 | 352, 589, 783, 217, 411 |
31 | 352, 589, 261, 217, 137 |
352, 19, 261, 7, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 352 x 19 x 261 x 7 x 137 = 311363946432
Therefore, the lowest common multiple of 704,589,783,217,822 is 311363946432.
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.
704 x 589 x 783 x 217 x 822 = 57913694036352
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
589 : 1, 19, 31, 589
783 : 1, 3, 9, 27, 29, 87, 261, 783
217 : 1, 7, 31, 217
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,589,783,217,822, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
589:19x 31
783:3x 3x 3x 29
217:7x 31
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 57913694036352/(1x186)
LCM = 57913694036352/186
LCM = 311363946432
Thus, we can understand that the LCM of 704,589,783,217,822 is 311363946432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 589, 783, 217, 822?
Answer: LCM of 704, 589, 783, 217, 822 is 311363946432.
2. How to calculate the LCM of 704, 589, 783, 217, 822?
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 704, 589, 783, 217, 822.
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}.