LCM of 891, 945, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 945, 945 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, 945, 945. So, keep reading to learn more.
Given numbers are 891,945,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,945,945 is 31185.
Find LCM of 891,945,945 with Prime Factorization
| 3 | 891, 945, 945 |
| 3 | 297, 315, 315 |
| 3 | 99, 105, 105 |
| 5 | 33, 35, 35 |
| 7 | 33, 7, 7 |
| 33, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 33 x 1 x 1 = 31185
Therefore, the lowest common multiple of 891,945,945 is 31185.
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 945 x 945 = 795685275
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
27 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,945,945, is 27.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
945:3x 3x 3x 5x 7
945:3x 3x 3x 5x 7
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 5x 7 = 945
Therefore, the value for common factors is 945.
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 = 795685275/(27x945)
LCM = 795685275/25515
LCM = 31185
Thus, we can understand that the LCM of 891,945,945 is 31185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 891, 945, 945
1. What is the LCM of 891, 945, 945?
Answer: LCM of 891, 945, 945 is 31185.
2. How to calculate the LCM of 891, 945, 945?
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, 945, 945.
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}.