Find the LCM of 301, 682, 387, 403 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 301, 682, 387, 403. So, keep reading to learn more.
Given numbers are 301,682,387,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,682,387,403 is 24017994.
Find LCM of 301,682,387,403 with Prime Factorization
31 | 301, 682, 387, 403 |
43 | 301, 22, 387, 13 |
7, 22, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
31 x 43 x 7 x 22 x 9 x 13 = 24017994
Therefore, the lowest common multiple of 301,682,387,403 is 24017994.
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.
301 x 682 x 387 x 403 = 32015986002
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.
301 : 1, 7, 43, 301
682 : 1, 2, 11, 22, 31, 62, 341, 682
387 : 1, 3, 9, 43, 129, 387
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,682,387,403, is 1.
Now, the common factors can be found like this.
301:7x 43
682:2x 11x 31
387:3x 3x 43
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31x 43 = 1333
Therefore, the value for common factors is 1333.
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 = 32015986002/(1x1333)
LCM = 32015986002/1333
LCM = 24017994
Thus, we can understand that the LCM of 301,682,387,403 is 24017994.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 682, 387, 403?
Answer: LCM of 301, 682, 387, 403 is 24017994.
2. How to calculate the LCM of 301, 682, 387, 403?
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 301, 682, 387, 403.
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}.