LCM of 614, 252, 812, 407, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 252, 812, 407, 682 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, 252, 812, 407, 682. So, keep reading to learn more.
Given numbers are 614,252,812,407,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,252,812,407,682 is 28306946052.
Find LCM of 614,252,812,407,682 with Prime Factorization
| 2 | 614, 252, 812, 407, 682 |
| 2 | 307, 126, 406, 407, 341 |
| 7 | 307, 63, 203, 407, 341 |
| 11 | 307, 9, 29, 407, 341 |
| 307, 9, 29, 37, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 307 x 9 x 29 x 37 x 31 = 28306946052
Therefore, the lowest common multiple of 614,252,812,407,682 is 28306946052.
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 252 x 812 x 407 x 682 = 34874157536064
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
407 : 1, 11, 37, 407
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,252,812,407,682, is 1.
Now, the common factors can be found like this.
614:2x 307
252:2x 2x 3x 3x 7
812:2x 2x 7x 29
407:11x 37
682:2x 11x 31
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 34874157536064/(1x1232)
LCM = 34874157536064/1232
LCM = 28306946052
Thus, we can understand that the LCM of 614,252,812,407,682 is 28306946052.
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FAQs on LCM of 614, 252, 812, 407, 682
1. What is the LCM of 614, 252, 812, 407, 682?
Answer: LCM of 614, 252, 812, 407, 682 is 28306946052.
2. How to calculate the LCM of 614, 252, 812, 407, 682?
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, 252, 812, 407, 682.
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}.