LCM of 614, 864, 303, 675, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 864, 303, 675, 808 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 614, 864, 303, 675, 808. So, keep reading to learn more.
Given numbers are 614,864,303,675,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,864,303,675,808 is 669751200.
Find LCM of 614,864,303,675,808 with Prime Factorization
| 2 | 614, 864, 303, 675, 808 |
| 2 | 307, 432, 303, 675, 404 |
| 2 | 307, 216, 303, 675, 202 |
| 3 | 307, 108, 303, 675, 101 |
| 3 | 307, 36, 101, 225, 101 |
| 3 | 307, 12, 101, 75, 101 |
| 101 | 307, 4, 101, 25, 101 |
| 307, 4, 1, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 101 x 307 x 4 x 1 x 25 x 1 = 669751200
Therefore, the lowest common multiple of 614,864,303,675,808 is 669751200.
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.
614 x 864 x 303 x 675 x 808 = 87667753075200
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.
614 : 1, 2, 307, 614
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
303 : 1, 3, 101, 303
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,864,303,675,808, is 1.
Now, the common factors can be found like this.
614:2x 307
864:2x 2x 2x 2x 2x 3x 3x 3
303:3x 101
675:3x 3x 3x 5x 5
808:2x 2x 2x 101
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 3x 3x 3x 3x 101 = 130896
Therefore, the value for common factors is 130896.
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 = 87667753075200/(1x130896)
LCM = 87667753075200/130896
LCM = 669751200
Thus, we can understand that the LCM of 614,864,303,675,808 is 669751200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 864, 303, 675, 808
1. What is the LCM of 614, 864, 303, 675, 808?
Answer: LCM of 614, 864, 303, 675, 808 is 669751200.
2. How to calculate the LCM of 614, 864, 303, 675, 808?
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 614, 864, 303, 675, 808.
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}.