LCM of 308, 506, 627, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 506, 627, 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 308, 506, 627, 614. So, keep reading to learn more.
Given numbers are 308,506,627,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,506,627,614 is 123962916.
Find LCM of 308,506,627,614 with Prime Factorization
| 2 | 308, 506, 627, 614 |
| 11 | 154, 253, 627, 307 |
| 14, 23, 57, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 14 x 23 x 57 x 307 = 123962916
Therefore, the lowest common multiple of 308,506,627,614 is 123962916.
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.
308 x 506 x 627 x 614 = 59998051344
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
506 : 1, 2, 11, 22, 23, 46, 253, 506
627 : 1, 3, 11, 19, 33, 57, 209, 627
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,506,627,614, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
506:2x 11x 23
627:3x 11x 19
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.
2x 2x 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 59998051344/(1x484)
LCM = 59998051344/484
LCM = 123962916
Thus, we can understand that the LCM of 308,506,627,614 is 123962916.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 308, 506, 627, 614
1. What is the LCM of 308, 506, 627, 614?
Answer: LCM of 308, 506, 627, 614 is 123962916.
2. How to calculate the LCM of 308, 506, 627, 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 308, 506, 627, 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}.