LCM of 682, 731, 527, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 731, 527, 159 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, 731, 527, 159. So, keep reading to learn more.
Given numbers are 682,731,527,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,731,527,159 is 79268178.
Find LCM of 682,731,527,159 with Prime Factorization
| 17 | 682, 731, 527, 159 |
| 31 | 682, 43, 31, 159 |
| 22, 43, 1, 159 |
Multiply the prime numbers at the bottom and the left side.
17 x 31 x 22 x 43 x 1 x 159 = 79268178
Therefore, the lowest common multiple of 682,731,527,159 is 79268178.
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 731 x 527 x 159 = 41774329806
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
731 : 1, 17, 43, 731
527 : 1, 17, 31, 527
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,731,527,159, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
731:17x 43
527:17x 31
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 31 = 527
Therefore, the value for common factors is 527.
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 = 41774329806/(1x527)
LCM = 41774329806/527
LCM = 79268178
Thus, we can understand that the LCM of 682,731,527,159 is 79268178.
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, 731, 527, 159
1. What is the LCM of 682, 731, 527, 159?
Answer: LCM of 682, 731, 527, 159 is 79268178.
2. How to calculate the LCM of 682, 731, 527, 159?
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, 731, 527, 159.
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}.