Find the LCM of 189, 177, 671, 591, 781 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 189, 177, 671, 591, 781. So, keep reading to learn more.
Given numbers are 189,177,671,591,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,177,671,591,781 is 104655223827.
Find LCM of 189,177,671,591,781 with Prime Factorization
3 | 189, 177, 671, 591, 781 |
11 | 63, 59, 671, 197, 781 |
63, 59, 61, 197, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 63 x 59 x 61 x 197 x 71 = 104655223827
Therefore, the lowest common multiple of 189,177,671,591,781 is 104655223827.
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.
189 x 177 x 671 x 591 x 781 = 10360867158873
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
177 : 1, 3, 59, 177
671 : 1, 11, 61, 671
591 : 1, 3, 197, 591
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,177,671,591,781, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
177:3x 59
671:11x 61
591:3x 197
781:11x 71
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 11 = 99
Therefore, the value for common factors is 99.
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 = 10360867158873/(1x99)
LCM = 10360867158873/99
LCM = 104655223827
Thus, we can understand that the LCM of 189,177,671,591,781 is 104655223827.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 177, 671, 591, 781?
Answer: LCM of 189, 177, 671, 591, 781 is 104655223827.
2. How to calculate the LCM of 189, 177, 671, 591, 781?
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 189, 177, 671, 591, 781.
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}.