LCM of 163, 936, 289, 958, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 936, 289, 958, 891 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 163, 936, 289, 958, 891. So, keep reading to learn more.
Given numbers are 163,936,289,958,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,936,289,958,891 is 2090893939992.
Find LCM of 163,936,289,958,891 with Prime Factorization
| 2 | 163, 936, 289, 958, 891 |
| 3 | 163, 468, 289, 479, 891 |
| 3 | 163, 156, 289, 479, 297 |
| 163, 52, 289, 479, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 163 x 52 x 289 x 479 x 99 = 2090893939992
Therefore, the lowest common multiple of 163,936,289,958,891 is 2090893939992.
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.
163 x 936 x 289 x 958 x 891 = 37636090919856
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.
163 : 1, 163
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
289 : 1, 17, 289
958 : 1, 2, 479, 958
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,936,289,958,891, is 1.
Now, the common factors can be found like this.
163:163
936:2x 2x 2x 3x 3x 13
289:17x 17
958:2x 479
891:3x 3x 3x 3x 11
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 3 = 18
Therefore, the value for common factors is 18.
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 = 37636090919856/(1x18)
LCM = 37636090919856/18
LCM = 2090893939992
Thus, we can understand that the LCM of 163,936,289,958,891 is 2090893939992.
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FAQs on LCM of 163, 936, 289, 958, 891
1. What is the LCM of 163, 936, 289, 958, 891?
Answer: LCM of 163, 936, 289, 958, 891 is 2090893939992.
2. How to calculate the LCM of 163, 936, 289, 958, 891?
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 163, 936, 289, 958, 891.
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}.