Find the LCM of 178, 559, 682, 970, 712 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 178, 559, 682, 970, 712. So, keep reading to learn more.
Given numbers are 178,559,682,970,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,559,682,970,712 is 65824553080.
Find LCM of 178,559,682,970,712 with Prime Factorization
2 | 178, 559, 682, 970, 712 |
89 | 89, 559, 341, 485, 356 |
1, 559, 341, 485, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 1 x 559 x 341 x 485 x 4 = 65824553080
Therefore, the lowest common multiple of 178,559,682,970,712 is 65824553080.
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.
178 x 559 x 682 x 970 x 712 = 46867081792960
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.
178 : 1, 2, 89, 178
559 : 1, 13, 43, 559
682 : 1, 2, 11, 22, 31, 62, 341, 682
970 : 1, 2, 5, 10, 97, 194, 485, 970
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,559,682,970,712, is 1.
Now, the common factors can be found like this.
178:2x 89
559:13x 43
682:2x 11x 31
970:2x 5x 97
712:2x 2x 2x 89
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 89 = 712
Therefore, the value for common factors is 712.
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 = 46867081792960/(1x712)
LCM = 46867081792960/712
LCM = 65824553080
Thus, we can understand that the LCM of 178,559,682,970,712 is 65824553080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 178, 559, 682, 970, 712?
Answer: LCM of 178, 559, 682, 970, 712 is 65824553080.
2. How to calculate the LCM of 178, 559, 682, 970, 712?
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 178, 559, 682, 970, 712.
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}.