LCM of 116, 244, 917, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 244, 917, 917 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 116, 244, 917, 917. So, keep reading to learn more.
Given numbers are 116,244,917,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,244,917,917 is 6488692.
Find LCM of 116,244,917,917 with Prime Factorization
| 2 | 116, 244, 917, 917 |
| 2 | 58, 122, 917, 917 |
| 7 | 29, 61, 917, 917 |
| 131 | 29, 61, 131, 131 |
| 29, 61, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 29 x 61 x 1 x 1 = 6488692
Therefore, the lowest common multiple of 116,244,917,917 is 6488692.
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.
116 x 244 x 917 x 917 = 23800522256
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.
116 : 1, 2, 4, 29, 58, 116
244 : 1, 2, 4, 61, 122, 244
917 : 1, 7, 131, 917
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,244,917,917, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
244:2x 2x 61
917:7x 131
917:7x 131
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 7x 131 = 3668
Therefore, the value for common factors is 3668.
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 = 23800522256/(1x3668)
LCM = 23800522256/3668
LCM = 6488692
Thus, we can understand that the LCM of 116,244,917,917 is 6488692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 244, 917, 917
1. What is the LCM of 116, 244, 917, 917?
Answer: LCM of 116, 244, 917, 917 is 6488692.
2. How to calculate the LCM of 116, 244, 917, 917?
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 116, 244, 917, 917.
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}.