Find the LCM of 731, 110, 996, 732, 183 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 731, 110, 996, 732, 183. So, keep reading to learn more.
Given numbers are 731,110,996,732,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,110,996,732,183 is 2442694980.
Find LCM of 731,110,996,732,183 with Prime Factorization
2 | 731, 110, 996, 732, 183 |
2 | 731, 55, 498, 366, 183 |
3 | 731, 55, 249, 183, 183 |
61 | 731, 55, 83, 61, 61 |
731, 55, 83, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 731 x 55 x 83 x 1 x 1 = 2442694980
Therefore, the lowest common multiple of 731,110,996,732,183 is 2442694980.
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.
731 x 110 x 996 x 732 x 183 = 10728316352160
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.
731 : 1, 17, 43, 731
110 : 1, 2, 5, 10, 11, 22, 55, 110
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,110,996,732,183, is 1.
Now, the common factors can be found like this.
731:17x 43
110:2x 5x 11
996:2x 2x 3x 83
732:2x 2x 3x 61
183:3x 61
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 2x 3x 3x 61 = 4392
Therefore, the value for common factors is 4392.
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 = 10728316352160/(1x4392)
LCM = 10728316352160/4392
LCM = 2442694980
Thus, we can understand that the LCM of 731,110,996,732,183 is 2442694980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 110, 996, 732, 183?
Answer: LCM of 731, 110, 996, 732, 183 is 2442694980.
2. How to calculate the LCM of 731, 110, 996, 732, 183?
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 731, 110, 996, 732, 183.
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}.