Find the LCM of 682, 627, 230, 365, 482 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, 627, 230, 365, 482. So, keep reading to learn more.
Given numbers are 682,627,230,365,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,627,230,365,482 is 78649682430.
Find LCM of 682,627,230,365,482 with Prime Factorization
2 | 682, 627, 230, 365, 482 |
5 | 341, 627, 115, 365, 241 |
11 | 341, 627, 23, 73, 241 |
31, 57, 23, 73, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 31 x 57 x 23 x 73 x 241 = 78649682430
Therefore, the lowest common multiple of 682,627,230,365,482 is 78649682430.
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 627 x 230 x 365 x 482 = 17302930134600
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
230 : 1, 2, 5, 10, 23, 46, 115, 230
365 : 1, 5, 73, 365
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,627,230,365,482, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
627:3x 11x 19
230:2x 5x 23
365:5x 73
482:2x 241
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 17302930134600/(1x220)
LCM = 17302930134600/220
LCM = 78649682430
Thus, we can understand that the LCM of 682,627,230,365,482 is 78649682430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 627, 230, 365, 482?
Answer: LCM of 682, 627, 230, 365, 482 is 78649682430.
2. How to calculate the LCM of 682, 627, 230, 365, 482?
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, 627, 230, 365, 482.
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}.