LCM of 792, 946, 104, 312, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 946, 104, 312, 649 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 792, 946, 104, 312, 649. So, keep reading to learn more.
Given numbers are 792,946,104,312,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,946,104,312,649 is 26120952.
Find LCM of 792,946,104,312,649 with Prime Factorization
| 2 | 792, 946, 104, 312, 649 |
| 2 | 396, 473, 52, 156, 649 |
| 2 | 198, 473, 26, 78, 649 |
| 3 | 99, 473, 13, 39, 649 |
| 11 | 33, 473, 13, 13, 649 |
| 13 | 3, 43, 13, 13, 59 |
| 3, 43, 1, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 3 x 43 x 1 x 1 x 59 = 26120952
Therefore, the lowest common multiple of 792,946,104,312,649 is 26120952.
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.
792 x 946 x 104 x 312 x 649 = 15777890878464
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.
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
104 : 1, 2, 4, 8, 13, 26, 52, 104
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,946,104,312,649, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
946:2x 11x 43
104:2x 2x 2x 13
312:2x 2x 2x 3x 13
649:11x 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 2x 2x 2x 2x 2x 3x 11x 11x 13 = 604032
Therefore, the value for common factors is 604032.
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 = 15777890878464/(1x604032)
LCM = 15777890878464/604032
LCM = 26120952
Thus, we can understand that the LCM of 792,946,104,312,649 is 26120952.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 792, 946, 104, 312, 649
1. What is the LCM of 792, 946, 104, 312, 649?
Answer: LCM of 792, 946, 104, 312, 649 is 26120952.
2. How to calculate the LCM of 792, 946, 104, 312, 649?
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 792, 946, 104, 312, 649.
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}.