LCM of 227, 927, 309, 642, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 927, 309, 642, 935 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 227, 927, 309, 642, 935. So, keep reading to learn more.
Given numbers are 227,927,309,642,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,927,309,642,935 is 42104738610.
Find LCM of 227,927,309,642,935 with Prime Factorization
| 3 | 227, 927, 309, 642, 935 |
| 103 | 227, 309, 103, 214, 935 |
| 227, 3, 1, 214, 935 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 227 x 3 x 1 x 214 x 935 = 42104738610
Therefore, the lowest common multiple of 227,927,309,642,935 is 42104738610.
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.
227 x 927 x 309 x 642 x 935 = 39031092691470
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.
227 : 1, 227
927 : 1, 3, 9, 103, 309, 927
309 : 1, 3, 103, 309
642 : 1, 2, 3, 6, 107, 214, 321, 642
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,927,309,642,935, is 1.
Now, the common factors can be found like this.
227:227
927:3x 3x 103
309:3x 103
642:2x 3x 107
935:5x 11x 17
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 103 = 927
Therefore, the value for common factors is 927.
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 = 39031092691470/(1x927)
LCM = 39031092691470/927
LCM = 42104738610
Thus, we can understand that the LCM of 227,927,309,642,935 is 42104738610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 927, 309, 642, 935
1. What is the LCM of 227, 927, 309, 642, 935?
Answer: LCM of 227, 927, 309, 642, 935 is 42104738610.
2. How to calculate the LCM of 227, 927, 309, 642, 935?
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 227, 927, 309, 642, 935.
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}.