LCM of 605, 621, 227, 908, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 621, 227, 908, 828 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 605, 621, 227, 908, 828. So, keep reading to learn more.
Given numbers are 605,621,227,908,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,621,227,908,828 is 341140140.
Find LCM of 605,621,227,908,828 with Prime Factorization
| 2 | 605, 621, 227, 908, 828 |
| 2 | 605, 621, 227, 454, 414 |
| 3 | 605, 621, 227, 227, 207 |
| 3 | 605, 69, 227, 227, 207 |
| 23 | 605, 23, 227, 227, 69 |
| 227 | 605, 1, 227, 227, 3 |
| 605, 1, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 227 x 605 x 1 x 1 x 1 x 3 = 341140140
Therefore, the lowest common multiple of 605,621,227,908,828 is 341140140.
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.
605 x 621 x 227 x 908 x 828 = 64119336153840
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.
605 : 1, 5, 11, 55, 121, 605
621 : 1, 3, 9, 23, 27, 69, 207, 621
227 : 1, 227
908 : 1, 2, 4, 227, 454, 908
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,621,227,908,828, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
621:3x 3x 3x 23
227:227
908:2x 2x 227
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 23x 227 = 187956
Therefore, the value for common factors is 187956.
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 = 64119336153840/(1x187956)
LCM = 64119336153840/187956
LCM = 341140140
Thus, we can understand that the LCM of 605,621,227,908,828 is 341140140.
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FAQs on LCM of 605, 621, 227, 908, 828
1. What is the LCM of 605, 621, 227, 908, 828?
Answer: LCM of 605, 621, 227, 908, 828 is 341140140.
2. How to calculate the LCM of 605, 621, 227, 908, 828?
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 605, 621, 227, 908, 828.
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}.