Find the LCM of 917, 382, 786, 447 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 917, 382, 786, 447. So, keep reading to learn more.
Given numbers are 917,382,786,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,382,786,447 is 156581418.
Find LCM of 917,382,786,447 with Prime Factorization
2 | 917, 382, 786, 447 |
3 | 917, 191, 393, 447 |
131 | 917, 191, 131, 149 |
7, 191, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 7 x 191 x 1 x 149 = 156581418
Therefore, the lowest common multiple of 917,382,786,447 is 156581418.
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.
917 x 382 x 786 x 447 = 123072994548
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.
917 : 1, 7, 131, 917
382 : 1, 2, 191, 382
786 : 1, 2, 3, 6, 131, 262, 393, 786
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,382,786,447, is 1.
Now, the common factors can be found like this.
917:7x 131
382:2x 191
786:2x 3x 131
447:3x 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 3x 131 = 786
Therefore, the value for common factors is 786.
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 = 123072994548/(1x786)
LCM = 123072994548/786
LCM = 156581418
Thus, we can understand that the LCM of 917,382,786,447 is 156581418.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 382, 786, 447?
Answer: LCM of 917, 382, 786, 447 is 156581418.
2. How to calculate the LCM of 917, 382, 786, 447?
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 917, 382, 786, 447.
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}.