Find the LCM of 417, 407, 333 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 417, 407, 333. So, keep reading to learn more.
Given numbers are 417,407,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,407,333 is 509157.
Find LCM of 417,407,333 with Prime Factorization
3 | 417, 407, 333 |
37 | 139, 407, 111 |
139, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 139 x 11 x 3 = 509157
Therefore, the lowest common multiple of 417,407,333 is 509157.
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.
417 x 407 x 333 = 56516427
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.
417 : 1, 3, 139, 417
407 : 1, 11, 37, 407
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,407,333, is 1.
Now, the common factors can be found like this.
417:3x 139
407:11x 37
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 37 = 111
Therefore, the value for common factors is 111.
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 = 56516427/(1x111)
LCM = 56516427/111
LCM = 509157
Thus, we can understand that the LCM of 417,407,333 is 509157.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 407, 333?
Answer: LCM of 417, 407, 333 is 509157.
2. How to calculate the LCM of 417, 407, 333?
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 417, 407, 333.
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}.