Find the LCM of 105, 796, 484, 745 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 105, 796, 484, 745. So, keep reading to learn more.
Given numbers are 105,796,484,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,796,484,745 is 1506863820.
Find LCM of 105,796,484,745 with Prime Factorization
2 | 105, 796, 484, 745 |
2 | 105, 398, 242, 745 |
5 | 105, 199, 121, 745 |
21, 199, 121, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 21 x 199 x 121 x 149 = 1506863820
Therefore, the lowest common multiple of 105,796,484,745 is 1506863820.
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.
105 x 796 x 484 x 745 = 30137276400
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
796 : 1, 2, 4, 199, 398, 796
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,796,484,745, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
796:2x 2x 199
484:2x 2x 11x 11
745:5x 149
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 5 = 20
Therefore, the value for common factors is 20.
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 = 30137276400/(1x20)
LCM = 30137276400/20
LCM = 1506863820
Thus, we can understand that the LCM of 105,796,484,745 is 1506863820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 796, 484, 745?
Answer: LCM of 105, 796, 484, 745 is 1506863820.
2. How to calculate the LCM of 105, 796, 484, 745?
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 105, 796, 484, 745.
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}.