LCM of 957, 891, 405, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 891, 405, 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 957, 891, 405, 285. So, keep reading to learn more.
Given numbers are 957,891,405,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,891,405,285 is 2454705.
Find LCM of 957,891,405,285 with Prime Factorization
| 3 | 957, 891, 405, 285 |
| 3 | 319, 297, 135, 95 |
| 3 | 319, 99, 45, 95 |
| 3 | 319, 33, 15, 95 |
| 5 | 319, 11, 5, 95 |
| 11 | 319, 11, 1, 19 |
| 29, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 5 x 11 x 29 x 1 x 1 x 19 = 2454705
Therefore, the lowest common multiple of 957,891,405,285 is 2454705.
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.
957 x 891 x 405 x 285 = 98421396975
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
285 : 1, 3, 5, 15, 19, 57, 95, 285
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,891,405,285, is 3.
Now, the common factors can be found like this.
957:3x 11x 29
891:3x 3x 3x 3x 11
405:3x 3x 3x 3x 5
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.
3x 3x 3x 3x 3x 5x 11 = 13365
Therefore, the value for common factors is 13365.
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 = 98421396975/(3x13365)
LCM = 98421396975/40095
LCM = 2454705
Thus, we can understand that the LCM of 957,891,405,285 is 2454705.
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FAQs on LCM of 957, 891, 405, 285
1. What is the LCM of 957, 891, 405, 285?
Answer: LCM of 957, 891, 405, 285 is 2454705.
2. How to calculate the LCM of 957, 891, 405, 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 957, 891, 405, 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}.