LCM of 171, 897, 327, 631, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 171, 897, 327, 631, 845 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 171, 897, 327, 631, 845. So, keep reading to learn more.
Given numbers are 171,897,327,631,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,897,327,631,845 is 228579096915.
Find LCM of 171,897,327,631,845 with Prime Factorization
| 3 | 171, 897, 327, 631, 845 |
| 13 | 57, 299, 109, 631, 845 |
| 57, 23, 109, 631, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 57 x 23 x 109 x 631 x 65 = 228579096915
Therefore, the lowest common multiple of 171,897,327,631,845 is 228579096915.
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.
171 x 897 x 327 x 631 x 845 = 26743754339055
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.
171 : 1, 3, 9, 19, 57, 171
897 : 1, 3, 13, 23, 39, 69, 299, 897
327 : 1, 3, 109, 327
631 : 1, 631
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,897,327,631,845, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
897:3x 13x 23
327:3x 109
631:631
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 26743754339055/(1x117)
LCM = 26743754339055/117
LCM = 228579096915
Thus, we can understand that the LCM of 171,897,327,631,845 is 228579096915.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 171, 897, 327, 631, 845
1. What is the LCM of 171, 897, 327, 631, 845?
Answer: LCM of 171, 897, 327, 631, 845 is 228579096915.
2. How to calculate the LCM of 171, 897, 327, 631, 845?
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 171, 897, 327, 631, 845.
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}.