Find the LCM of 676, 992, 468, 999, 944 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 676, 992, 468, 999, 944. So, keep reading to learn more.
Given numbers are 676,992,468,999,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,992,468,999,944 is 9881340768.
Find LCM of 676,992,468,999,944 with Prime Factorization
2 | 676, 992, 468, 999, 944 |
2 | 338, 496, 234, 999, 472 |
2 | 169, 248, 117, 999, 236 |
2 | 169, 124, 117, 999, 118 |
3 | 169, 62, 117, 999, 59 |
3 | 169, 62, 39, 333, 59 |
13 | 169, 62, 13, 111, 59 |
1, 62, 13, 111, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 13 x 1 x 62 x 13 x 111 x 59 = 9881340768
Therefore, the lowest common multiple of 676,992,468,999,944 is 9881340768.
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.
676 x 992 x 468 x 999 x 944 = 295965918683136
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
999 : 1, 3, 9, 27, 37, 111, 333, 999
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,992,468,999,944, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
992:2x 2x 2x 2x 2x 31
468:2x 2x 3x 3x 13
999:3x 3x 3x 37
944:2x 2x 2x 2x 59
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 2x 3x 3x 13 = 29952
Therefore, the value for common factors is 29952.
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 = 295965918683136/(1x29952)
LCM = 295965918683136/29952
LCM = 9881340768
Thus, we can understand that the LCM of 676,992,468,999,944 is 9881340768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 992, 468, 999, 944?
Answer: LCM of 676, 992, 468, 999, 944 is 9881340768.
2. How to calculate the LCM of 676, 992, 468, 999, 944?
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 676, 992, 468, 999, 944.
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}.