LCM of 923, 663, 663, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 663, 663, 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 923, 663, 663, 945. So, keep reading to learn more.
Given numbers are 923,663,663,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,663,663,945 is 14827995.
Find LCM of 923,663,663,945 with Prime Factorization
| 3 | 923, 663, 663, 945 |
| 13 | 923, 221, 221, 315 |
| 17 | 71, 17, 17, 315 |
| 71, 1, 1, 315 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 71 x 1 x 1 x 315 = 14827995
Therefore, the lowest common multiple of 923,663,663,945 is 14827995.
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.
923 x 663 x 663 x 945 = 383407466715
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.
923 : 1, 13, 71, 923
663 : 1, 3, 13, 17, 39, 51, 221, 663
663 : 1, 3, 13, 17, 39, 51, 221, 663
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,663,663,945, is 1.
Now, the common factors can be found like this.
923:13x 71
663:3x 13x 17
663:3x 13x 17
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 13x 13x 17 = 25857
Therefore, the value for common factors is 25857.
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 = 383407466715/(1x25857)
LCM = 383407466715/25857
LCM = 14827995
Thus, we can understand that the LCM of 923,663,663,945 is 14827995.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 663, 663, 945
1. What is the LCM of 923, 663, 663, 945?
Answer: LCM of 923, 663, 663, 945 is 14827995.
2. How to calculate the LCM of 923, 663, 663, 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 923, 663, 663, 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}.