Find the LCM of 935, 206, 930, 990, 334 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, 206, 930, 990, 334. So, keep reading to learn more.
Given numbers are 935,206,930,990,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,206,930,990,334 is 8974277730.
Find LCM of 935,206,930,990,334 with Prime Factorization
2 | 935, 206, 930, 990, 334 |
3 | 935, 103, 465, 495, 167 |
5 | 935, 103, 155, 165, 167 |
11 | 187, 103, 31, 33, 167 |
17, 103, 31, 3, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 103 x 31 x 3 x 167 = 8974277730
Therefore, the lowest common multiple of 935,206,930,990,334 is 8974277730.
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 206 x 930 x 990 x 334 = 59230233018000
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
206 : 1, 2, 103, 206
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,206,930,990,334, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
206:2x 103
930:2x 3x 5x 31
990:2x 3x 3x 5x 11
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 59230233018000/(1x6600)
LCM = 59230233018000/6600
LCM = 8974277730
Thus, we can understand that the LCM of 935,206,930,990,334 is 8974277730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 206, 930, 990, 334?
Answer: LCM of 935, 206, 930, 990, 334 is 8974277730.
2. How to calculate the LCM of 935, 206, 930, 990, 334?
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, 206, 930, 990, 334.
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}.