Find the LCM of 728, 261, 417, 396, 599 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 728, 261, 417, 396, 599. So, keep reading to learn more.
Given numbers are 728,261,417,396,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,261,417,396,599 is 174022816968.
Find LCM of 728,261,417,396,599 with Prime Factorization
2 | 728, 261, 417, 396, 599 |
2 | 364, 261, 417, 198, 599 |
3 | 182, 261, 417, 99, 599 |
3 | 182, 87, 139, 33, 599 |
182, 29, 139, 11, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 182 x 29 x 139 x 11 x 599 = 174022816968
Therefore, the lowest common multiple of 728,261,417,396,599 is 174022816968.
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.
728 x 261 x 417 x 396 x 599 = 18794464232544
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
261 : 1, 3, 9, 29, 87, 261
417 : 1, 3, 139, 417
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,261,417,396,599, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
261:3x 3x 29
417:3x 139
396:2x 2x 3x 3x 11
599:599
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 18794464232544/(1x108)
LCM = 18794464232544/108
LCM = 174022816968
Thus, we can understand that the LCM of 728,261,417,396,599 is 174022816968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 261, 417, 396, 599?
Answer: LCM of 728, 261, 417, 396, 599 is 174022816968.
2. How to calculate the LCM of 728, 261, 417, 396, 599?
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 728, 261, 417, 396, 599.
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}.