Find the LCM of 184, 713, 297, 307, 892 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 184, 713, 297, 307, 892. So, keep reading to learn more.
Given numbers are 184,713,297,307,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,713,297,307,892 is 115978958568.
Find LCM of 184,713,297,307,892 with Prime Factorization
2 | 184, 713, 297, 307, 892 |
2 | 92, 713, 297, 307, 446 |
23 | 46, 713, 297, 307, 223 |
2, 31, 297, 307, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 2 x 31 x 297 x 307 x 223 = 115978958568
Therefore, the lowest common multiple of 184,713,297,307,892 is 115978958568.
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.
184 x 713 x 297 x 307 x 892 = 10670064188256
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
713 : 1, 23, 31, 713
297 : 1, 3, 9, 11, 27, 33, 99, 297
307 : 1, 307
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,713,297,307,892, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
713:23x 31
297:3x 3x 3x 11
307:307
892:2x 2x 223
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 23 = 92
Therefore, the value for common factors is 92.
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 = 10670064188256/(1x92)
LCM = 10670064188256/92
LCM = 115978958568
Thus, we can understand that the LCM of 184,713,297,307,892 is 115978958568.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 713, 297, 307, 892?
Answer: LCM of 184, 713, 297, 307, 892 is 115978958568.
2. How to calculate the LCM of 184, 713, 297, 307, 892?
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 184, 713, 297, 307, 892.
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}.