Find the LCM of 131, 489, 393, 770, 285 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 131, 489, 393, 770, 285. So, keep reading to learn more.
Given numbers are 131,489,393,770,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,489,393,770,285 is 937183170.
Find LCM of 131,489,393,770,285 with Prime Factorization
3 | 131, 489, 393, 770, 285 |
5 | 131, 163, 131, 770, 95 |
131 | 131, 163, 131, 154, 19 |
1, 163, 1, 154, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 131 x 1 x 163 x 1 x 154 x 19 = 937183170
Therefore, the lowest common multiple of 131,489,393,770,285 is 937183170.
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.
131 x 489 x 393 x 770 x 285 = 5524694787150
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.
131 : 1, 131
489 : 1, 3, 163, 489
393 : 1, 3, 131, 393
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,489,393,770,285, is 1.
Now, the common factors can be found like this.
131:131
489:3x 163
393:3x 131
770:2x 5x 7x 11
285:3x 5x 19
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 5x 131 = 5895
Therefore, the value for common factors is 5895.
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 = 5524694787150/(1x5895)
LCM = 5524694787150/5895
LCM = 937183170
Thus, we can understand that the LCM of 131,489,393,770,285 is 937183170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 131, 489, 393, 770, 285?
Answer: LCM of 131, 489, 393, 770, 285 is 937183170.
2. How to calculate the LCM of 131, 489, 393, 770, 285?
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 131, 489, 393, 770, 285.
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}.