Find the LCM of 917, 845, 897, 167 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, 845, 897, 167. So, keep reading to learn more.
Given numbers are 917,845,897,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,845,897,167 is 8928769395.
Find LCM of 917,845,897,167 with Prime Factorization
13 | 917, 845, 897, 167 |
917, 65, 69, 167 |
Multiply the prime numbers at the bottom and the left side.
13 x 917 x 65 x 69 x 167 = 8928769395
Therefore, the lowest common multiple of 917,845,897,167 is 8928769395.
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 845 x 897 x 167 = 116074002135
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
845 : 1, 5, 13, 65, 169, 845
897 : 1, 3, 13, 23, 39, 69, 299, 897
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,845,897,167, is 1.
Now, the common factors can be found like this.
917:7x 131
845:5x 13x 13
897:3x 13x 23
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 116074002135/(1x13)
LCM = 116074002135/13
LCM = 8928769395
Thus, we can understand that the LCM of 917,845,897,167 is 8928769395.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 845, 897, 167?
Answer: LCM of 917, 845, 897, 167 is 8928769395.
2. How to calculate the LCM of 917, 845, 897, 167?
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, 845, 897, 167.
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}.