Find the LCM of 105, 881, 698, 827, 827 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 105, 881, 698, 827, 827. So, keep reading to learn more.
Given numbers are 105,881,698,827,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,881,698,827,827 is 53398141230.
Find LCM of 105,881,698,827,827 with Prime Factorization
827 | 105, 881, 698, 827, 827 |
105, 881, 698, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
827 x 105 x 881 x 698 x 1 x 1 = 53398141230
Therefore, the lowest common multiple of 105,881,698,827,827 is 53398141230.
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.
105 x 881 x 698 x 827 x 827 = 44160262797210
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
881 : 1, 881
698 : 1, 2, 349, 698
827 : 1, 827
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,881,698,827,827, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
881:881
698:2x 349
827:827
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
827 = 827
Therefore, the value for common factors is 827.
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 = 44160262797210/(1x827)
LCM = 44160262797210/827
LCM = 53398141230
Thus, we can understand that the LCM of 105,881,698,827,827 is 53398141230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 881, 698, 827, 827?
Answer: LCM of 105, 881, 698, 827, 827 is 53398141230.
2. How to calculate the LCM of 105, 881, 698, 827, 827?
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 105, 881, 698, 827, 827.
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}.