LCM of 112, 380, 261, 857, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 380, 261, 857, 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 112, 380, 261, 857, 792. So, keep reading to learn more.
Given numbers are 112,380,261,857,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,380,261,857,792 is 26179156080.
Find LCM of 112,380,261,857,792 with Prime Factorization
| 2 | 112, 380, 261, 857, 792 |
| 2 | 56, 190, 261, 857, 396 |
| 2 | 28, 95, 261, 857, 198 |
| 3 | 14, 95, 261, 857, 99 |
| 3 | 14, 95, 87, 857, 33 |
| 14, 95, 29, 857, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 14 x 95 x 29 x 857 x 11 = 26179156080
Therefore, the lowest common multiple of 112,380,261,857,792 is 26179156080.
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.
112 x 380 x 261 x 857 x 792 = 7539596951040
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
261 : 1, 3, 9, 29, 87, 261
857 : 1, 857
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 112,380,261,857,792, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
380:2x 2x 5x 19
261:3x 3x 29
857:857
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 7539596951040/(1x288)
LCM = 7539596951040/288
LCM = 26179156080
Thus, we can understand that the LCM of 112,380,261,857,792 is 26179156080.
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FAQs on LCM of 112, 380, 261, 857, 792
1. What is the LCM of 112, 380, 261, 857, 792?
Answer: LCM of 112, 380, 261, 857, 792 is 26179156080.
2. How to calculate the LCM of 112, 380, 261, 857, 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 112, 380, 261, 857, 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}.