Find the LCM of 827, 417, 107, 973 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 827, 417, 107, 973. So, keep reading to learn more.
Given numbers are 827,417,107,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,417,107,973 is 258299391.
Find LCM of 827,417,107,973 with Prime Factorization
139 | 827, 417, 107, 973 |
827, 3, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
139 x 827 x 3 x 107 x 7 = 258299391
Therefore, the lowest common multiple of 827,417,107,973 is 258299391.
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.
827 x 417 x 107 x 973 = 35903615349
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.
827 : 1, 827
417 : 1, 3, 139, 417
107 : 1, 107
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,417,107,973, is 1.
Now, the common factors can be found like this.
827:827
417:3x 139
107:107
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 35903615349/(1x139)
LCM = 35903615349/139
LCM = 258299391
Thus, we can understand that the LCM of 827,417,107,973 is 258299391.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 417, 107, 973?
Answer: LCM of 827, 417, 107, 973 is 258299391.
2. How to calculate the LCM of 827, 417, 107, 973?
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 827, 417, 107, 973.
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}.