Find the LCM of 891, 117, 504, 957, 321 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 891, 117, 504, 957, 321. So, keep reading to learn more.
Given numbers are 891,117,504,957,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,117,504,957,321 is 2012754744.
Find LCM of 891,117,504,957,321 with Prime Factorization
3 | 891, 117, 504, 957, 321 |
3 | 297, 39, 168, 319, 107 |
11 | 99, 13, 56, 319, 107 |
9, 13, 56, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 9 x 13 x 56 x 29 x 107 = 2012754744
Therefore, the lowest common multiple of 891,117,504,957,321 is 2012754744.
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.
891 x 117 x 504 x 957 x 321 = 16140280292136
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
117 : 1, 3, 9, 13, 39, 117
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
957 : 1, 3, 11, 29, 33, 87, 319, 957
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,117,504,957,321, is 3.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
117:3x 3x 13
504:2x 2x 2x 3x 3x 7
957:3x 11x 29
321:3x 107
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 11 = 2673
Therefore, the value for common factors is 2673.
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 = 16140280292136/(3x2673)
LCM = 16140280292136/8019
LCM = 2012754744
Thus, we can understand that the LCM of 891,117,504,957,321 is 2012754744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 117, 504, 957, 321?
Answer: LCM of 891, 117, 504, 957, 321 is 2012754744.
2. How to calculate the LCM of 891, 117, 504, 957, 321?
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 891, 117, 504, 957, 321.
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}.