LCM of 609, 483, 816, 576, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 483, 816, 576, 986 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 609, 483, 816, 576, 986. So, keep reading to learn more.
Given numbers are 609,483,816,576,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,483,816,576,986 is 45718848.
Find LCM of 609,483,816,576,986 with Prime Factorization
| 2 | 609, 483, 816, 576, 986 |
| 2 | 609, 483, 408, 288, 493 |
| 2 | 609, 483, 204, 144, 493 |
| 2 | 609, 483, 102, 72, 493 |
| 3 | 609, 483, 51, 36, 493 |
| 7 | 203, 161, 17, 12, 493 |
| 17 | 29, 23, 17, 12, 493 |
| 29 | 29, 23, 1, 12, 29 |
| 1, 23, 1, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 17 x 29 x 1 x 23 x 1 x 12 x 1 = 45718848
Therefore, the lowest common multiple of 609,483,816,576,986 is 45718848.
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.
609 x 483 x 816 x 576 x 986 = 136318243203072
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
483 : 1, 3, 7, 21, 23, 69, 161, 483
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,483,816,576,986, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
483:3x 7x 23
816:2x 2x 2x 2x 3x 17
576:2x 2x 2x 2x 2x 2x 3x 3
986:2x 17x 29
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 2x 2x 2x 3x 3x 3x 7x 17x 29 = 2981664
Therefore, the value for common factors is 2981664.
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 = 136318243203072/(1x2981664)
LCM = 136318243203072/2981664
LCM = 45718848
Thus, we can understand that the LCM of 609,483,816,576,986 is 45718848.
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FAQs on LCM of 609, 483, 816, 576, 986
1. What is the LCM of 609, 483, 816, 576, 986?
Answer: LCM of 609, 483, 816, 576, 986 is 45718848.
2. How to calculate the LCM of 609, 483, 816, 576, 986?
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 609, 483, 816, 576, 986.
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}.