Find the LCM of 828, 997, 944, 728, 672 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 828, 997, 944, 728, 672. So, keep reading to learn more.
Given numbers are 828,997,944,728,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,997,944,728,672 is 35457563232.
Find LCM of 828,997,944,728,672 with Prime Factorization
2 | 828, 997, 944, 728, 672 |
2 | 414, 997, 472, 364, 336 |
2 | 207, 997, 236, 182, 168 |
2 | 207, 997, 118, 91, 84 |
3 | 207, 997, 59, 91, 42 |
7 | 69, 997, 59, 91, 14 |
69, 997, 59, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 69 x 997 x 59 x 13 x 2 = 35457563232
Therefore, the lowest common multiple of 828,997,944,728,672 is 35457563232.
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.
828 x 997 x 944 x 728 x 672 = 381239719870464
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
997 : 1, 997
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,997,944,728,672, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
997:997
944:2x 2x 2x 2x 59
728:2x 2x 2x 7x 13
672:2x 2x 2x 2x 2x 3x 7
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 2x 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 381239719870464/(1x10752)
LCM = 381239719870464/10752
LCM = 35457563232
Thus, we can understand that the LCM of 828,997,944,728,672 is 35457563232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 997, 944, 728, 672?
Answer: LCM of 828, 997, 944, 728, 672 is 35457563232.
2. How to calculate the LCM of 828, 997, 944, 728, 672?
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 828, 997, 944, 728, 672.
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}.