LCM of 487, 183, 308, 816, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 183, 308, 816, 605 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 487, 183, 308, 816, 605. So, keep reading to learn more.
Given numbers are 487,183,308,816,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,183,308,816,605 is 102660262320.
Find LCM of 487,183,308,816,605 with Prime Factorization
| 2 | 487, 183, 308, 816, 605 |
| 2 | 487, 183, 154, 408, 605 |
| 3 | 487, 183, 77, 204, 605 |
| 11 | 487, 61, 77, 68, 605 |
| 487, 61, 7, 68, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 487 x 61 x 7 x 68 x 55 = 102660262320
Therefore, the lowest common multiple of 487,183,308,816,605 is 102660262320.
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.
487 x 183 x 308 x 816 x 605 = 13551154626240
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.
487 : 1, 487
183 : 1, 3, 61, 183
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,183,308,816,605, is 1.
Now, the common factors can be found like this.
487:487
183:3x 61
308:2x 2x 7x 11
816:2x 2x 2x 2x 3x 17
605:5x 11x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 13551154626240/(1x132)
LCM = 13551154626240/132
LCM = 102660262320
Thus, we can understand that the LCM of 487,183,308,816,605 is 102660262320.
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FAQs on LCM of 487, 183, 308, 816, 605
1. What is the LCM of 487, 183, 308, 816, 605?
Answer: LCM of 487, 183, 308, 816, 605 is 102660262320.
2. How to calculate the LCM of 487, 183, 308, 816, 605?
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 487, 183, 308, 816, 605.
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}.