Find the LCM of 591, 812, 873, 352 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 591, 812, 873, 352. So, keep reading to learn more.
Given numbers are 591,812,873,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,812,873,352 is 12289074336.
Find LCM of 591,812,873,352 with Prime Factorization
2 | 591, 812, 873, 352 |
2 | 591, 406, 873, 176 |
3 | 591, 203, 873, 88 |
197, 203, 291, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 197 x 203 x 291 x 88 = 12289074336
Therefore, the lowest common multiple of 591,812,873,352 is 12289074336.
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.
591 x 812 x 873 x 352 = 147468892032
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.
591 : 1, 3, 197, 591
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
873 : 1, 3, 9, 97, 291, 873
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,812,873,352, is 1.
Now, the common factors can be found like this.
591:3x 197
812:2x 2x 7x 29
873:3x 3x 97
352:2x 2x 2x 2x 2x 11
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 3 = 12
Therefore, the value for common factors is 12.
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 = 147468892032/(1x12)
LCM = 147468892032/12
LCM = 12289074336
Thus, we can understand that the LCM of 591,812,873,352 is 12289074336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 812, 873, 352?
Answer: LCM of 591, 812, 873, 352 is 12289074336.
2. How to calculate the LCM of 591, 812, 873, 352?
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 591, 812, 873, 352.
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}.