LCM of 110, 988, 385, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 988, 385, 166 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 110, 988, 385, 166. So, keep reading to learn more.
Given numbers are 110,988,385,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,988,385,166 is 31571540.
Find LCM of 110,988,385,166 with Prime Factorization
| 2 | 110, 988, 385, 166 |
| 5 | 55, 494, 385, 83 |
| 11 | 11, 494, 77, 83 |
| 1, 494, 7, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 1 x 494 x 7 x 83 = 31571540
Therefore, the lowest common multiple of 110,988,385,166 is 31571540.
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.
110 x 988 x 385 x 166 = 6945738800
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
385 : 1, 5, 7, 11, 35, 55, 77, 385
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,988,385,166, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
988:2x 2x 13x 19
385:5x 7x 11
166:2x 83
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 6945738800/(1x220)
LCM = 6945738800/220
LCM = 31571540
Thus, we can understand that the LCM of 110,988,385,166 is 31571540.
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FAQs on LCM of 110, 988, 385, 166
1. What is the LCM of 110, 988, 385, 166?
Answer: LCM of 110, 988, 385, 166 is 31571540.
2. How to calculate the LCM of 110, 988, 385, 166?
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 110, 988, 385, 166.
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}.