LCM of 791, 456, 969, 790, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 456, 969, 790, 845 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 791, 456, 969, 790, 845. So, keep reading to learn more.
Given numbers are 791,456,969,790,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,456,969,790,845 is 409330445160.
Find LCM of 791,456,969,790,845 with Prime Factorization
| 2 | 791, 456, 969, 790, 845 |
| 3 | 791, 228, 969, 395, 845 |
| 5 | 791, 76, 323, 395, 845 |
| 19 | 791, 76, 323, 79, 169 |
| 791, 4, 17, 79, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 791 x 4 x 17 x 79 x 169 = 409330445160
Therefore, the lowest common multiple of 791,456,969,790,845 is 409330445160.
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.
791 x 456 x 969 x 790 x 845 = 233318353741200
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.
791 : 1, 7, 113, 791
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
969 : 1, 3, 17, 19, 51, 57, 323, 969
790 : 1, 2, 5, 10, 79, 158, 395, 790
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,456,969,790,845, is 1.
Now, the common factors can be found like this.
791:7x 113
456:2x 2x 2x 3x 19
969:3x 17x 19
790:2x 5x 79
845:5x 13x 13
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 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 233318353741200/(1x570)
LCM = 233318353741200/570
LCM = 409330445160
Thus, we can understand that the LCM of 791,456,969,790,845 is 409330445160.
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FAQs on LCM of 791, 456, 969, 790, 845
1. What is the LCM of 791, 456, 969, 790, 845?
Answer: LCM of 791, 456, 969, 790, 845 is 409330445160.
2. How to calculate the LCM of 791, 456, 969, 790, 845?
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 791, 456, 969, 790, 845.
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}.