Find the LCM of 729, 416, 728, 828, 997 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 729, 416, 728, 828, 997. So, keep reading to learn more.
Given numbers are 729,416,728,828,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,416,728,828,997 is 48679027488.
Find LCM of 729,416,728,828,997 with Prime Factorization
2 | 729, 416, 728, 828, 997 |
2 | 729, 208, 364, 414, 997 |
2 | 729, 104, 182, 207, 997 |
3 | 729, 52, 91, 207, 997 |
3 | 243, 52, 91, 69, 997 |
13 | 81, 52, 91, 23, 997 |
81, 4, 7, 23, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 81 x 4 x 7 x 23 x 997 = 48679027488
Therefore, the lowest common multiple of 729,416,728,828,997 is 48679027488.
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.
729 x 416 x 728 x 828 x 997 = 182254278915072
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.
729 : 1, 3, 9, 27, 81, 243, 729
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,416,728,828,997, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
416:2x 2x 2x 2x 2x 13
728:2x 2x 2x 7x 13
828:2x 2x 3x 3x 23
997:997
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 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 182254278915072/(1x3744)
LCM = 182254278915072/3744
LCM = 48679027488
Thus, we can understand that the LCM of 729,416,728,828,997 is 48679027488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 416, 728, 828, 997?
Answer: LCM of 729, 416, 728, 828, 997 is 48679027488.
2. How to calculate the LCM of 729, 416, 728, 828, 997?
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 729, 416, 728, 828, 997.
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}.