Find the LCM of 814, 731, 217, 144 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 814, 731, 217, 144. So, keep reading to learn more.
Given numbers are 814,731,217,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,731,217,144 is 9296811216.
Find LCM of 814,731,217,144 with Prime Factorization
2 | 814, 731, 217, 144 |
407, 731, 217, 72 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 731 x 217 x 72 = 9296811216
Therefore, the lowest common multiple of 814,731,217,144 is 9296811216.
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.
814 x 731 x 217 x 144 = 18593622432
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
731 : 1, 17, 43, 731
217 : 1, 7, 31, 217
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,731,217,144, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
731:17x 43
217:7x 31
144:2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 18593622432/(1x2)
LCM = 18593622432/2
LCM = 9296811216
Thus, we can understand that the LCM of 814,731,217,144 is 9296811216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 731, 217, 144?
Answer: LCM of 814, 731, 217, 144 is 9296811216.
2. How to calculate the LCM of 814, 731, 217, 144?
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 814, 731, 217, 144.
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}.