Find the LCM of 715, 428, 459, 799, 187 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 715, 428, 459, 799, 187. So, keep reading to learn more.
Given numbers are 715,428,459,799,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,428,459,799,187 is 6601769460.
Find LCM of 715,428,459,799,187 with Prime Factorization
11 | 715, 428, 459, 799, 187 |
17 | 65, 428, 459, 799, 17 |
65, 428, 27, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 65 x 428 x 27 x 47 x 1 = 6601769460
Therefore, the lowest common multiple of 715,428,459,799,187 is 6601769460.
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.
715 x 428 x 459 x 799 x 187 = 20987025113340
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
428 : 1, 2, 4, 107, 214, 428
459 : 1, 3, 9, 17, 27, 51, 153, 459
799 : 1, 17, 47, 799
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,428,459,799,187, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
428:2x 2x 107
459:3x 3x 3x 17
799:17x 47
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17x 17 = 3179
Therefore, the value for common factors is 3179.
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 = 20987025113340/(1x3179)
LCM = 20987025113340/3179
LCM = 6601769460
Thus, we can understand that the LCM of 715,428,459,799,187 is 6601769460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 428, 459, 799, 187?
Answer: LCM of 715, 428, 459, 799, 187 is 6601769460.
2. How to calculate the LCM of 715, 428, 459, 799, 187?
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 715, 428, 459, 799, 187.
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}.