LCM of 793, 126, 120, 945, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 126, 120, 945, 923 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 793, 126, 120, 945, 923. So, keep reading to learn more.
Given numbers are 793,126,120,945,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,126,120,945,923 is 425650680.
Find LCM of 793,126,120,945,923 with Prime Factorization
| 2 | 793, 126, 120, 945, 923 |
| 3 | 793, 63, 60, 945, 923 |
| 3 | 793, 21, 20, 315, 923 |
| 5 | 793, 7, 20, 105, 923 |
| 7 | 793, 7, 4, 21, 923 |
| 13 | 793, 1, 4, 3, 923 |
| 61, 1, 4, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 13 x 61 x 1 x 4 x 3 x 71 = 425650680
Therefore, the lowest common multiple of 793,126,120,945,923 is 425650680.
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.
793 x 126 x 120 x 945 x 923 = 10458237207600
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.
793 : 1, 13, 61, 793
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,126,120,945,923, is 1.
Now, the common factors can be found like this.
793:13x 61
126:2x 3x 3x 7
120:2x 2x 2x 3x 5
945:3x 3x 3x 5x 7
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 13 = 24570
Therefore, the value for common factors is 24570.
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 = 10458237207600/(1x24570)
LCM = 10458237207600/24570
LCM = 425650680
Thus, we can understand that the LCM of 793,126,120,945,923 is 425650680.
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FAQs on LCM of 793, 126, 120, 945, 923
1. What is the LCM of 793, 126, 120, 945, 923?
Answer: LCM of 793, 126, 120, 945, 923 is 425650680.
2. How to calculate the LCM of 793, 126, 120, 945, 923?
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 793, 126, 120, 945, 923.
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}.