LCM of 116, 556, 939, 261, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 556, 939, 261, 162 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, 556, 939, 261, 162. So, keep reading to learn more.
Given numbers are 116,556,939,261,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,556,939,261,162 is 408791772.
Find LCM of 116,556,939,261,162 with Prime Factorization
| 2 | 116, 556, 939, 261, 162 |
| 2 | 58, 278, 939, 261, 81 |
| 3 | 29, 139, 939, 261, 81 |
| 3 | 29, 139, 313, 87, 27 |
| 29 | 29, 139, 313, 29, 9 |
| 1, 139, 313, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 1 x 139 x 313 x 1 x 9 = 408791772
Therefore, the lowest common multiple of 116,556,939,261,162 is 408791772.
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 556 x 939 x 261 x 162 = 2560671659808
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
556 : 1, 2, 4, 139, 278, 556
939 : 1, 3, 313, 939
261 : 1, 3, 9, 29, 87, 261
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,556,939,261,162, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
556:2x 2x 139
939:3x 313
261:3x 3x 29
162:2x 3x 3x 3x 3
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 2x 3x 3x 3x 29 = 6264
Therefore, the value for common factors is 6264.
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 = 2560671659808/(1x6264)
LCM = 2560671659808/6264
LCM = 408791772
Thus, we can understand that the LCM of 116,556,939,261,162 is 408791772.
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FAQs on LCM of 116, 556, 939, 261, 162
1. What is the LCM of 116, 556, 939, 261, 162?
Answer: LCM of 116, 556, 939, 261, 162 is 408791772.
2. How to calculate the LCM of 116, 556, 939, 261, 162?
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, 556, 939, 261, 162.
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}.