LCM of 283, 715, 387, 747, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 715, 387, 747, 614 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 283, 715, 387, 747, 614. So, keep reading to learn more.
Given numbers are 283,715,387,747,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,715,387,747,614 is 3990707579430.
Find LCM of 283,715,387,747,614 with Prime Factorization
| 3 | 283, 715, 387, 747, 614 |
| 3 | 283, 715, 129, 249, 614 |
| 283, 715, 43, 83, 614 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 283 x 715 x 43 x 83 x 614 = 3990707579430
Therefore, the lowest common multiple of 283,715,387,747,614 is 3990707579430.
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.
283 x 715 x 387 x 747 x 614 = 35916368214870
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.
283 : 1, 283
715 : 1, 5, 11, 13, 55, 65, 143, 715
387 : 1, 3, 9, 43, 129, 387
747 : 1, 3, 9, 83, 249, 747
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,715,387,747,614, is 1.
Now, the common factors can be found like this.
283:283
715:5x 11x 13
387:3x 3x 43
747:3x 3x 83
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 35916368214870/(1x9)
LCM = 35916368214870/9
LCM = 3990707579430
Thus, we can understand that the LCM of 283,715,387,747,614 is 3990707579430.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 283, 715, 387, 747, 614
1. What is the LCM of 283, 715, 387, 747, 614?
Answer: LCM of 283, 715, 387, 747, 614 is 3990707579430.
2. How to calculate the LCM of 283, 715, 387, 747, 614?
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 283, 715, 387, 747, 614.
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}.