Find the LCM of 107, 992, 992, 356 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, 992, 992, 356. So, keep reading to learn more.
Given numbers are 107,992,992,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,992,992,356 is 9446816.
Find LCM of 107,992,992,356 with Prime Factorization
2 | 107, 992, 992, 356 |
2 | 107, 496, 496, 178 |
2 | 107, 248, 248, 89 |
2 | 107, 124, 124, 89 |
2 | 107, 62, 62, 89 |
31 | 107, 31, 31, 89 |
107, 1, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 31 x 107 x 1 x 1 x 89 = 9446816
Therefore, the lowest common multiple of 107,992,992,356 is 9446816.
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 992 x 992 x 356 = 37484965888
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
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,992,992,356, is 1.
Now, the common factors can be found like this.
107:107
992:2x 2x 2x 2x 2x 31
992:2x 2x 2x 2x 2x 31
356:2x 2x 89
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 2x 31 = 3968
Therefore, the value for common factors is 3968.
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 = 37484965888/(1x3968)
LCM = 37484965888/3968
LCM = 9446816
Thus, we can understand that the LCM of 107,992,992,356 is 9446816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 992, 992, 356?
Answer: LCM of 107, 992, 992, 356 is 9446816.
2. How to calculate the LCM of 107, 992, 992, 356?
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, 992, 992, 356.
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}.