Find the LCM of 459, 969, 576, 831 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 459, 969, 576, 831. So, keep reading to learn more.
Given numbers are 459,969,576,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,969,576,831 is 154605888.
Find LCM of 459,969,576,831 with Prime Factorization
3 | 459, 969, 576, 831 |
3 | 153, 323, 192, 277 |
17 | 51, 323, 64, 277 |
3, 19, 64, 277 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 3 x 19 x 64 x 277 = 154605888
Therefore, the lowest common multiple of 459,969,576,831 is 154605888.
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.
459 x 969 x 576 x 831 = 212892307776
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
969 : 1, 3, 17, 19, 51, 57, 323, 969
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
831 : 1, 3, 277, 831
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,969,576,831, is 3.
Now, the common factors can be found like this.
459:3x 3x 3x 17
969:3x 17x 19
576:2x 2x 2x 2x 2x 2x 3x 3
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 212892307776/(3x459)
LCM = 212892307776/1377
LCM = 154605888
Thus, we can understand that the LCM of 459,969,576,831 is 154605888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 969, 576, 831?
Answer: LCM of 459, 969, 576, 831 is 154605888.
2. How to calculate the LCM of 459, 969, 576, 831?
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 459, 969, 576, 831.
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}.