LCM of 682, 392, 716, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 392, 716, 314 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 682, 392, 716, 314. So, keep reading to learn more.
Given numbers are 682,392,716,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,392,716,314 is 3756584216.
Find LCM of 682,392,716,314 with Prime Factorization
| 2 | 682, 392, 716, 314 |
| 2 | 341, 196, 358, 157 |
| 341, 98, 179, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 341 x 98 x 179 x 157 = 3756584216
Therefore, the lowest common multiple of 682,392,716,314 is 3756584216.
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.
682 x 392 x 716 x 314 = 60105347456
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
716 : 1, 2, 4, 179, 358, 716
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,392,716,314, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
392:2x 2x 2x 7x 7
716:2x 2x 179
314:2x 157
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 2 = 8
Therefore, the value for common factors is 8.
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 = 60105347456/(2x8)
LCM = 60105347456/16
LCM = 3756584216
Thus, we can understand that the LCM of 682,392,716,314 is 3756584216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 682, 392, 716, 314
1. What is the LCM of 682, 392, 716, 314?
Answer: LCM of 682, 392, 716, 314 is 3756584216.
2. How to calculate the LCM of 682, 392, 716, 314?
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 682, 392, 716, 314.
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}.