Find the LCM of 186, 747, 796, 744, 908 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 186, 747, 796, 744, 908. So, keep reading to learn more.
Given numbers are 186,747,796,744,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,747,796,744,908 is 8368569288.
Find LCM of 186,747,796,744,908 with Prime Factorization
2 | 186, 747, 796, 744, 908 |
2 | 93, 747, 398, 372, 454 |
3 | 93, 747, 199, 186, 227 |
31 | 31, 249, 199, 62, 227 |
1, 249, 199, 2, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 1 x 249 x 199 x 2 x 227 = 8368569288
Therefore, the lowest common multiple of 186,747,796,744,908 is 8368569288.
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.
186 x 747 x 796 x 744 x 908 = 74714586603264
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
747 : 1, 3, 9, 83, 249, 747
796 : 1, 2, 4, 199, 398, 796
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,747,796,744,908, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
747:3x 3x 83
796:2x 2x 199
744:2x 2x 2x 3x 31
908:2x 2x 227
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 2x 2x 3x 3x 31 = 8928
Therefore, the value for common factors is 8928.
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 = 74714586603264/(1x8928)
LCM = 74714586603264/8928
LCM = 8368569288
Thus, we can understand that the LCM of 186,747,796,744,908 is 8368569288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 186, 747, 796, 744, 908?
Answer: LCM of 186, 747, 796, 744, 908 is 8368569288.
2. How to calculate the LCM of 186, 747, 796, 744, 908?
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 186, 747, 796, 744, 908.
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}.