LCM of 511, 438, 946, 380, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 438, 946, 380, 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 511, 438, 946, 380, 792. So, keep reading to learn more.
Given numbers are 511,438,946,380,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,438,946,380,792 is 1653248520.
Find LCM of 511,438,946,380,792 with Prime Factorization
| 2 | 511, 438, 946, 380, 792 |
| 2 | 511, 219, 473, 190, 396 |
| 3 | 511, 219, 473, 95, 198 |
| 11 | 511, 73, 473, 95, 66 |
| 73 | 511, 73, 43, 95, 6 |
| 7, 1, 43, 95, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 73 x 7 x 1 x 43 x 95 x 6 = 1653248520
Therefore, the lowest common multiple of 511,438,946,380,792 is 1653248520.
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.
511 x 438 x 946 x 380 x 792 = 63722810954880
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.
511 : 1, 7, 73, 511
438 : 1, 2, 3, 6, 73, 146, 219, 438
946 : 1, 2, 11, 22, 43, 86, 473, 946
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 511,438,946,380,792, is 1.
Now, the common factors can be found like this.
511:7x 73
438:2x 3x 73
946:2x 11x 43
380:2x 2x 5x 19
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 3x 11x 73 = 38544
Therefore, the value for common factors is 38544.
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 = 63722810954880/(1x38544)
LCM = 63722810954880/38544
LCM = 1653248520
Thus, we can understand that the LCM of 511,438,946,380,792 is 1653248520.
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FAQs on LCM of 511, 438, 946, 380, 792
1. What is the LCM of 511, 438, 946, 380, 792?
Answer: LCM of 511, 438, 946, 380, 792 is 1653248520.
2. How to calculate the LCM of 511, 438, 946, 380, 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 511, 438, 946, 380, 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}.