LCM of 682, 214, 242, 868, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 214, 242, 868, 409 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, 214, 242, 868, 409. So, keep reading to learn more.
Given numbers are 682,214,242,868,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,214,242,868,409 is 4596340364.
Find LCM of 682,214,242,868,409 with Prime Factorization
| 2 | 682, 214, 242, 868, 409 |
| 11 | 341, 107, 121, 434, 409 |
| 31 | 31, 107, 11, 434, 409 |
| 1, 107, 11, 14, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 1 x 107 x 11 x 14 x 409 = 4596340364
Therefore, the lowest common multiple of 682,214,242,868,409 is 4596340364.
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 214 x 242 x 868 x 409 = 12538816512992
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
214 : 1, 2, 107, 214
242 : 1, 2, 11, 22, 121, 242
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,214,242,868,409, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
214:2x 107
242:2x 11x 11
868:2x 2x 7x 31
409:409
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 2x 11x 31 = 2728
Therefore, the value for common factors is 2728.
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 = 12538816512992/(1x2728)
LCM = 12538816512992/2728
LCM = 4596340364
Thus, we can understand that the LCM of 682,214,242,868,409 is 4596340364.
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, 214, 242, 868, 409
1. What is the LCM of 682, 214, 242, 868, 409?
Answer: LCM of 682, 214, 242, 868, 409 is 4596340364.
2. How to calculate the LCM of 682, 214, 242, 868, 409?
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, 214, 242, 868, 409.
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}.