Find the LCM of 185, 407, 217, 933 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 185, 407, 217, 933. So, keep reading to learn more.
Given numbers are 185,407,217,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,407,217,933 is 412008135.
Find LCM of 185,407,217,933 with Prime Factorization
37 | 185, 407, 217, 933 |
5, 11, 217, 933 |
Multiply the prime numbers at the bottom and the left side.
37 x 5 x 11 x 217 x 933 = 412008135
Therefore, the lowest common multiple of 185,407,217,933 is 412008135.
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.
185 x 407 x 217 x 933 = 15244300995
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.
185 : 1, 5, 37, 185
407 : 1, 11, 37, 407
217 : 1, 7, 31, 217
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,407,217,933, is 1.
Now, the common factors can be found like this.
185:5x 37
407:11x 37
217:7x 31
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 15244300995/(1x37)
LCM = 15244300995/37
LCM = 412008135
Thus, we can understand that the LCM of 185,407,217,933 is 412008135.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 185, 407, 217, 933?
Answer: LCM of 185, 407, 217, 933 is 412008135.
2. How to calculate the LCM of 185, 407, 217, 933?
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 185, 407, 217, 933.
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}.