Find the LCM of 133, 774, 935, 741, 912 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 133, 774, 935, 741, 912. So, keep reading to learn more.
Given numbers are 133,774,935,741,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,774,935,741,912 is 10010080080.
Find LCM of 133,774,935,741,912 with Prime Factorization
2 | 133, 774, 935, 741, 912 |
3 | 133, 387, 935, 741, 456 |
19 | 133, 129, 935, 247, 152 |
7, 129, 935, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 7 x 129 x 935 x 13 x 8 = 10010080080
Therefore, the lowest common multiple of 133,774,935,741,912 is 10010080080.
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.
133 x 774 x 935 x 741 x 912 = 65045500359840
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.
133 : 1, 7, 19, 133
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
935 : 1, 5, 11, 17, 55, 85, 187, 935
741 : 1, 3, 13, 19, 39, 57, 247, 741
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,774,935,741,912, is 1.
Now, the common factors can be found like this.
133:7x 19
774:2x 3x 3x 43
935:5x 11x 17
741:3x 13x 19
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 65045500359840/(1x6498)
LCM = 65045500359840/6498
LCM = 10010080080
Thus, we can understand that the LCM of 133,774,935,741,912 is 10010080080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 774, 935, 741, 912?
Answer: LCM of 133, 774, 935, 741, 912 is 10010080080.
2. How to calculate the LCM of 133, 774, 935, 741, 912?
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 133, 774, 935, 741, 912.
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}.