LCM of 786, 715, 578, 867, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 715, 578, 867, 236 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 786, 715, 578, 867, 236. So, keep reading to learn more.
Given numbers are 786,715,578,867,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,715,578,867,236 is 19164982980.
Find LCM of 786,715,578,867,236 with Prime Factorization
| 2 | 786, 715, 578, 867, 236 |
| 3 | 393, 715, 289, 867, 118 |
| 17 | 131, 715, 289, 289, 118 |
| 17 | 131, 715, 17, 17, 118 |
| 131, 715, 1, 1, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 131 x 715 x 1 x 1 x 118 = 19164982980
Therefore, the lowest common multiple of 786,715,578,867,236 is 19164982980.
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.
786 x 715 x 578 x 867 x 236 = 66464160974640
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
715 : 1, 5, 11, 13, 55, 65, 143, 715
578 : 1, 2, 17, 34, 289, 578
867 : 1, 3, 17, 51, 289, 867
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,715,578,867,236, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
715:5x 11x 13
578:2x 17x 17
867:3x 17x 17
236:2x 2x 59
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 3x 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 66464160974640/(1x3468)
LCM = 66464160974640/3468
LCM = 19164982980
Thus, we can understand that the LCM of 786,715,578,867,236 is 19164982980.
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FAQs on LCM of 786, 715, 578, 867, 236
1. What is the LCM of 786, 715, 578, 867, 236?
Answer: LCM of 786, 715, 578, 867, 236 is 19164982980.
2. How to calculate the LCM of 786, 715, 578, 867, 236?
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 786, 715, 578, 867, 236.
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}.