Find the LCM of 799, 731, 606, 218, 314 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 799, 731, 606, 218, 314. So, keep reading to learn more.
Given numbers are 799,731,606,218,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,731,606,218,314 is 356298512646.
Find LCM of 799,731,606,218,314 with Prime Factorization
2 | 799, 731, 606, 218, 314 |
17 | 799, 731, 303, 109, 157 |
47, 43, 303, 109, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 47 x 43 x 303 x 109 x 157 = 356298512646
Therefore, the lowest common multiple of 799,731,606,218,314 is 356298512646.
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.
799 x 731 x 606 x 218 x 314 = 24228298859928
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.
799 : 1, 17, 47, 799
731 : 1, 17, 43, 731
606 : 1, 2, 3, 6, 101, 202, 303, 606
218 : 1, 2, 109, 218
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,731,606,218,314, is 1.
Now, the common factors can be found like this.
799:17x 47
731:17x 43
606:2x 3x 101
218:2x 109
314:2x 157
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 17 = 68
Therefore, the value for common factors is 68.
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 = 24228298859928/(1x68)
LCM = 24228298859928/68
LCM = 356298512646
Thus, we can understand that the LCM of 799,731,606,218,314 is 356298512646.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 731, 606, 218, 314?
Answer: LCM of 799, 731, 606, 218, 314 is 356298512646.
2. How to calculate the LCM of 799, 731, 606, 218, 314?
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 799, 731, 606, 218, 314.
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}.