LCM of 789, 969, 781, 187, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 969, 781, 187, 428 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 789, 969, 781, 187, 428. So, keep reading to learn more.
Given numbers are 789,969,781,187,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,969,781,187,428 is 85187196996.
Find LCM of 789,969,781,187,428 with Prime Factorization
| 3 | 789, 969, 781, 187, 428 |
| 11 | 263, 323, 781, 187, 428 |
| 17 | 263, 323, 71, 17, 428 |
| 263, 19, 71, 1, 428 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 263 x 19 x 71 x 1 x 428 = 85187196996
Therefore, the lowest common multiple of 789,969,781,187,428 is 85187196996.
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.
789 x 969 x 781 x 187 x 428 = 47790017514756
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.
789 : 1, 3, 263, 789
969 : 1, 3, 17, 19, 51, 57, 323, 969
781 : 1, 11, 71, 781
187 : 1, 11, 17, 187
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,969,781,187,428, is 1.
Now, the common factors can be found like this.
789:3x 263
969:3x 17x 19
781:11x 71
187:11x 17
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 47790017514756/(1x561)
LCM = 47790017514756/561
LCM = 85187196996
Thus, we can understand that the LCM of 789,969,781,187,428 is 85187196996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 969, 781, 187, 428
1. What is the LCM of 789, 969, 781, 187, 428?
Answer: LCM of 789, 969, 781, 187, 428 is 85187196996.
2. How to calculate the LCM of 789, 969, 781, 187, 428?
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 789, 969, 781, 187, 428.
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}.