Find the LCM of 107, 935, 944, 471, 737 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 107, 935, 944, 471, 737. So, keep reading to learn more.
Given numbers are 107,935,944,471,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,935,944,471,737 is 2980321341360.
Find LCM of 107,935,944,471,737 with Prime Factorization
11 | 107, 935, 944, 471, 737 |
107, 85, 944, 471, 67 |
Multiply the prime numbers at the bottom and the left side.
11 x 107 x 85 x 944 x 471 x 67 = 2980321341360
Therefore, the lowest common multiple of 107,935,944,471,737 is 2980321341360.
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.
107 x 935 x 944 x 471 x 737 = 32783534754960
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.
107 : 1, 107
935 : 1, 5, 11, 17, 55, 85, 187, 935
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
471 : 1, 3, 157, 471
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,935,944,471,737, is 1.
Now, the common factors can be found like this.
107:107
935:5x 11x 17
944:2x 2x 2x 2x 59
471:3x 157
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 32783534754960/(1x11)
LCM = 32783534754960/11
LCM = 2980321341360
Thus, we can understand that the LCM of 107,935,944,471,737 is 2980321341360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 935, 944, 471, 737?
Answer: LCM of 107, 935, 944, 471, 737 is 2980321341360.
2. How to calculate the LCM of 107, 935, 944, 471, 737?
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 107, 935, 944, 471, 737.
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}.