LCM of 788, 806, 121, 396, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 806, 121, 396, 285 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 788, 806, 121, 396, 285. So, keep reading to learn more.
Given numbers are 788,806,121,396,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,806,121,396,285 is 32853583620.
Find LCM of 788,806,121,396,285 with Prime Factorization
| 2 | 788, 806, 121, 396, 285 |
| 2 | 394, 403, 121, 198, 285 |
| 3 | 197, 403, 121, 99, 285 |
| 11 | 197, 403, 121, 33, 95 |
| 197, 403, 11, 3, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 197 x 403 x 11 x 3 x 95 = 32853583620
Therefore, the lowest common multiple of 788,806,121,396,285 is 32853583620.
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.
788 x 806 x 121 x 396 x 285 = 8673346075680
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.
788 : 1, 2, 4, 197, 394, 788
806 : 1, 2, 13, 26, 31, 62, 403, 806
121 : 1, 11, 121
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,806,121,396,285, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
806:2x 13x 31
121:11x 11
396:2x 2x 3x 3x 11
285:3x 5x 19
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 8673346075680/(1x264)
LCM = 8673346075680/264
LCM = 32853583620
Thus, we can understand that the LCM of 788,806,121,396,285 is 32853583620.
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FAQs on LCM of 788, 806, 121, 396, 285
1. What is the LCM of 788, 806, 121, 396, 285?
Answer: LCM of 788, 806, 121, 396, 285 is 32853583620.
2. How to calculate the LCM of 788, 806, 121, 396, 285?
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 788, 806, 121, 396, 285.
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}.