LCM of 793, 975, 945, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 975, 945, 106 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, 975, 945, 106. So, keep reading to learn more.
Given numbers are 793,975,945,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,975,945,106 is 397174050.
Find LCM of 793,975,945,106 with Prime Factorization
| 3 | 793, 975, 945, 106 |
| 5 | 793, 325, 315, 106 |
| 13 | 793, 65, 63, 106 |
| 61, 5, 63, 106 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 61 x 5 x 63 x 106 = 397174050
Therefore, the lowest common multiple of 793,975,945,106 is 397174050.
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 975 x 945 x 106 = 77448939750
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
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,975,945,106, is 1.
Now, the common factors can be found like this.
793:13x 61
975:3x 5x 5x 13
945:3x 3x 3x 5x 7
106:2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 77448939750/(1x195)
LCM = 77448939750/195
LCM = 397174050
Thus, we can understand that the LCM of 793,975,945,106 is 397174050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 793, 975, 945, 106
1. What is the LCM of 793, 975, 945, 106?
Answer: LCM of 793, 975, 945, 106 is 397174050.
2. How to calculate the LCM of 793, 975, 945, 106?
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, 975, 945, 106.
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}.