Find the LCM of 822, 170, 198, 728, 434 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 822, 170, 198, 728, 434. So, keep reading to learn more.
Given numbers are 822,170,198,728,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,170,198,728,434 is 26017631640.
Find LCM of 822,170,198,728,434 with Prime Factorization
2 | 822, 170, 198, 728, 434 |
3 | 411, 85, 99, 364, 217 |
7 | 137, 85, 33, 364, 217 |
137, 85, 33, 52, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 85 x 33 x 52 x 31 = 26017631640
Therefore, the lowest common multiple of 822,170,198,728,434 is 26017631640.
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.
822 x 170 x 198 x 728 x 434 = 8741924231040
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
170 : 1, 2, 5, 10, 17, 34, 85, 170
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
434 : 1, 2, 7, 14, 31, 62, 217, 434
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,170,198,728,434, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
170:2x 5x 17
198:2x 3x 3x 11
728:2x 2x 2x 7x 13
434:2x 7x 31
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 7 = 168
Therefore, the value for common factors is 168.
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 = 8741924231040/(2x168)
LCM = 8741924231040/336
LCM = 26017631640
Thus, we can understand that the LCM of 822,170,198,728,434 is 26017631640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 170, 198, 728, 434?
Answer: LCM of 822, 170, 198, 728, 434 is 26017631640.
2. How to calculate the LCM of 822, 170, 198, 728, 434?
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 822, 170, 198, 728, 434.
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}.