Find the LCM of 822, 289, 289, 853, 311 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, 289, 289, 853, 311. So, keep reading to learn more.
Given numbers are 822,289,289,853,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,289,289,853,311 is 63020098914.
Find LCM of 822,289,289,853,311 with Prime Factorization
17 | 822, 289, 289, 853, 311 |
17 | 822, 17, 17, 853, 311 |
822, 1, 1, 853, 311 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 822 x 1 x 1 x 853 x 311 = 63020098914
Therefore, the lowest common multiple of 822,289,289,853,311 is 63020098914.
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 289 x 289 x 853 x 311 = 18212808586146
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
289 : 1, 17, 289
289 : 1, 17, 289
853 : 1, 853
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,289,289,853,311, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
289:17x 17
289:17x 17
853:853
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 18212808586146/(1x289)
LCM = 18212808586146/289
LCM = 63020098914
Thus, we can understand that the LCM of 822,289,289,853,311 is 63020098914.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 289, 289, 853, 311?
Answer: LCM of 822, 289, 289, 853, 311 is 63020098914.
2. How to calculate the LCM of 822, 289, 289, 853, 311?
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, 289, 289, 853, 311.
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}.