LCM of 190, 988, 226, 134, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 988, 226, 134, 806 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 190, 988, 226, 134, 806. So, keep reading to learn more.
Given numbers are 190,988,226,134,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,988,226,134,806 is 1159422940.
Find LCM of 190,988,226,134,806 with Prime Factorization
| 2 | 190, 988, 226, 134, 806 |
| 13 | 95, 494, 113, 67, 403 |
| 19 | 95, 38, 113, 67, 31 |
| 5, 2, 113, 67, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 5 x 2 x 113 x 67 x 31 = 1159422940
Therefore, the lowest common multiple of 190,988,226,134,806 is 1159422940.
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.
190 x 988 x 226 x 134 x 806 = 4582039458880
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
226 : 1, 2, 113, 226
134 : 1, 2, 67, 134
806 : 1, 2, 13, 26, 31, 62, 403, 806
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,988,226,134,806, is 2.
Now, the common factors can be found like this.
190:2x 5x 19
988:2x 2x 13x 19
226:2x 113
134:2x 67
806:2x 13x 31
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 4582039458880/(2x1976)
LCM = 4582039458880/3952
LCM = 1159422940
Thus, we can understand that the LCM of 190,988,226,134,806 is 1159422940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 190, 988, 226, 134, 806
1. What is the LCM of 190, 988, 226, 134, 806?
Answer: LCM of 190, 988, 226, 134, 806 is 1159422940.
2. How to calculate the LCM of 190, 988, 226, 134, 806?
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 190, 988, 226, 134, 806.
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}.