LCM of 671, 867, 678, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 867, 678, 792 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 671, 867, 678, 792. So, keep reading to learn more.
Given numbers are 671,867,678,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,867,678,792 is 1577724984.
Find LCM of 671,867,678,792 with Prime Factorization
| 2 | 671, 867, 678, 792 |
| 3 | 671, 867, 339, 396 |
| 11 | 671, 289, 113, 132 |
| 61, 289, 113, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 289 x 113 x 12 = 1577724984
Therefore, the lowest common multiple of 671,867,678,792 is 1577724984.
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.
671 x 867 x 678 x 792 = 312389546832
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.
671 : 1, 11, 61, 671
867 : 1, 3, 17, 51, 289, 867
678 : 1, 2, 3, 6, 113, 226, 339, 678
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,867,678,792, is 1.
Now, the common factors can be found like this.
671:11x 61
867:3x 17x 17
678:2x 3x 113
792:2x 2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 312389546832/(1x198)
LCM = 312389546832/198
LCM = 1577724984
Thus, we can understand that the LCM of 671,867,678,792 is 1577724984.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 671, 867, 678, 792
1. What is the LCM of 671, 867, 678, 792?
Answer: LCM of 671, 867, 678, 792 is 1577724984.
2. How to calculate the LCM of 671, 867, 678, 792?
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 671, 867, 678, 792.
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}.