LCM of 796, 649, 424, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 649, 424, 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 796, 649, 424, 792. So, keep reading to learn more.
Given numbers are 796,649,424,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,649,424,792 is 492840216.
Find LCM of 796,649,424,792 with Prime Factorization
| 2 | 796, 649, 424, 792 |
| 2 | 398, 649, 212, 396 |
| 2 | 199, 649, 106, 198 |
| 11 | 199, 649, 53, 99 |
| 199, 59, 53, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 199 x 59 x 53 x 9 = 492840216
Therefore, the lowest common multiple of 796,649,424,792 is 492840216.
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.
796 x 649 x 424 x 792 = 173479756032
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.
796 : 1, 2, 4, 199, 398, 796
649 : 1, 11, 59, 649
424 : 1, 2, 4, 8, 53, 106, 212, 424
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 796,649,424,792, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
649:11x 59
424:2x 2x 2x 53
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 2x 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 173479756032/(1x352)
LCM = 173479756032/352
LCM = 492840216
Thus, we can understand that the LCM of 796,649,424,792 is 492840216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 796, 649, 424, 792
1. What is the LCM of 796, 649, 424, 792?
Answer: LCM of 796, 649, 424, 792 is 492840216.
2. How to calculate the LCM of 796, 649, 424, 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 796, 649, 424, 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}.