Find the LCM of 649, 933, 933, 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 649, 933, 933, 311. So, keep reading to learn more.
Given numbers are 649,933,933,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,933,933,311 is 605517.
Find LCM of 649,933,933,311 with Prime Factorization
3 | 649, 933, 933, 311 |
311 | 649, 311, 311, 311 |
649, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 311 x 649 x 1 x 1 x 1 = 605517
Therefore, the lowest common multiple of 649,933,933,311 is 605517.
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.
649 x 933 x 933 x 311 = 175698629271
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.
649 : 1, 11, 59, 649
933 : 1, 3, 311, 933
933 : 1, 3, 311, 933
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,933,933,311, is 1.
Now, the common factors can be found like this.
649:11x 59
933:3x 311
933:3x 311
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.
3x 311x 311 = 290163
Therefore, the value for common factors is 290163.
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 = 175698629271/(1x290163)
LCM = 175698629271/290163
LCM = 605517
Thus, we can understand that the LCM of 649,933,933,311 is 605517.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 933, 933, 311?
Answer: LCM of 649, 933, 933, 311 is 605517.
2. How to calculate the LCM of 649, 933, 933, 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 649, 933, 933, 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}.