Find the LCM of 935, 871, 333, 494, 506 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 935, 871, 333, 494, 506. So, keep reading to learn more.
Given numbers are 935,871,333,494,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,871,333,494,506 is 237020239170.
Find LCM of 935,871,333,494,506 with Prime Factorization
2 | 935, 871, 333, 494, 506 |
11 | 935, 871, 333, 247, 253 |
13 | 85, 871, 333, 247, 23 |
85, 67, 333, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 85 x 67 x 333 x 19 x 23 = 237020239170
Therefore, the lowest common multiple of 935,871,333,494,506 is 237020239170.
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.
935 x 871 x 333 x 494 x 506 = 67787788402620
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
871 : 1, 13, 67, 871
333 : 1, 3, 9, 37, 111, 333
494 : 1, 2, 13, 19, 26, 38, 247, 494
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,871,333,494,506, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
871:13x 67
333:3x 3x 37
494:2x 13x 19
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 67787788402620/(1x286)
LCM = 67787788402620/286
LCM = 237020239170
Thus, we can understand that the LCM of 935,871,333,494,506 is 237020239170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 871, 333, 494, 506?
Answer: LCM of 935, 871, 333, 494, 506 is 237020239170.
2. How to calculate the LCM of 935, 871, 333, 494, 506?
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 935, 871, 333, 494, 506.
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}.