LCM of 614, 782, 806, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 782, 806, 238 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, 782, 806, 238. So, keep reading to learn more.
Given numbers are 614,782,806,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,782,806,238 is 677248754.
Find LCM of 614,782,806,238 with Prime Factorization
| 2 | 614, 782, 806, 238 |
| 17 | 307, 391, 403, 119 |
| 307, 23, 403, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 307 x 23 x 403 x 7 = 677248754
Therefore, the lowest common multiple of 614,782,806,238 is 677248754.
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 782 x 806 x 238 = 92105830544
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
806 : 1, 2, 13, 26, 31, 62, 403, 806
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,782,806,238, is 2.
Now, the common factors can be found like this.
614:2x 307
782:2x 17x 23
806:2x 13x 31
238:2x 7x 17
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 17 = 68
Therefore, the value for common factors is 68.
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 = 92105830544/(2x68)
LCM = 92105830544/136
LCM = 677248754
Thus, we can understand that the LCM of 614,782,806,238 is 677248754.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 614, 782, 806, 238
1. What is the LCM of 614, 782, 806, 238?
Answer: LCM of 614, 782, 806, 238 is 677248754.
2. How to calculate the LCM of 614, 782, 806, 238?
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, 782, 806, 238.
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}.