Find the LCM of 831, 688, 622, 451, 452 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 831, 688, 622, 451, 452. So, keep reading to learn more.
Given numbers are 831,688,622,451,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,688,622,451,452 is 9061598933904.
Find LCM of 831,688,622,451,452 with Prime Factorization
2 | 831, 688, 622, 451, 452 |
2 | 831, 344, 311, 451, 226 |
831, 172, 311, 451, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 831 x 172 x 311 x 451 x 113 = 9061598933904
Therefore, the lowest common multiple of 831,688,622,451,452 is 9061598933904.
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.
831 x 688 x 622 x 451 x 452 = 72492791471232
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.
831 : 1, 3, 277, 831
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
622 : 1, 2, 311, 622
451 : 1, 11, 41, 451
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,688,622,451,452, is 1.
Now, the common factors can be found like this.
831:3x 277
688:2x 2x 2x 2x 43
622:2x 311
451:11x 41
452:2x 2x 113
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 2 = 8
Therefore, the value for common factors is 8.
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 = 72492791471232/(1x8)
LCM = 72492791471232/8
LCM = 9061598933904
Thus, we can understand that the LCM of 831,688,622,451,452 is 9061598933904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 831, 688, 622, 451, 452?
Answer: LCM of 831, 688, 622, 451, 452 is 9061598933904.
2. How to calculate the LCM of 831, 688, 622, 451, 452?
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 831, 688, 622, 451, 452.
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}.