Find the LCM of 937, 992, 910, 912, 406 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 937, 992, 910, 912, 406. So, keep reading to learn more.
Given numbers are 937,992,910,912,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,992,910,912,406 is 699093900960.
Find LCM of 937,992,910,912,406 with Prime Factorization
2 | 937, 992, 910, 912, 406 |
2 | 937, 496, 455, 456, 203 |
2 | 937, 248, 455, 228, 203 |
2 | 937, 124, 455, 114, 203 |
7 | 937, 62, 455, 57, 203 |
937, 62, 65, 57, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 937 x 62 x 65 x 57 x 29 = 699093900960
Therefore, the lowest common multiple of 937,992,910,912,406 is 699093900960.
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.
937 x 992 x 910 x 912 x 406 = 313194067630080
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.
937 : 1, 937
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,992,910,912,406, is 1.
Now, the common factors can be found like this.
937:937
992:2x 2x 2x 2x 2x 31
910:2x 5x 7x 13
912:2x 2x 2x 2x 3x 19
406:2x 7x 29
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 2x 2x 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 313194067630080/(1x448)
LCM = 313194067630080/448
LCM = 699093900960
Thus, we can understand that the LCM of 937,992,910,912,406 is 699093900960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 992, 910, 912, 406?
Answer: LCM of 937, 992, 910, 912, 406 is 699093900960.
2. How to calculate the LCM of 937, 992, 910, 912, 406?
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 937, 992, 910, 912, 406.
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}.