LCM of 127, 840, 857, 189, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 840, 857, 189, 986 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 127, 840, 857, 189, 986. So, keep reading to learn more.
Given numbers are 127,840,857,189,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,840,857,189,986 is 405651660120.
Find LCM of 127,840,857,189,986 with Prime Factorization
| 2 | 127, 840, 857, 189, 986 |
| 3 | 127, 420, 857, 189, 493 |
| 7 | 127, 140, 857, 63, 493 |
| 127, 20, 857, 9, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 20 x 857 x 9 x 493 = 405651660120
Therefore, the lowest common multiple of 127,840,857,189,986 is 405651660120.
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.
127 x 840 x 857 x 189 x 986 = 17037369725040
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.
127 : 1, 127
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
857 : 1, 857
189 : 1, 3, 7, 9, 21, 27, 63, 189
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,840,857,189,986, is 1.
Now, the common factors can be found like this.
127:127
840:2x 2x 2x 3x 5x 7
857:857
189:3x 3x 3x 7
986:2x 17x 29
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 7 = 42
Therefore, the value for common factors is 42.
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 = 17037369725040/(1x42)
LCM = 17037369725040/42
LCM = 405651660120
Thus, we can understand that the LCM of 127,840,857,189,986 is 405651660120.
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FAQs on LCM of 127, 840, 857, 189, 986
1. What is the LCM of 127, 840, 857, 189, 986?
Answer: LCM of 127, 840, 857, 189, 986 is 405651660120.
2. How to calculate the LCM of 127, 840, 857, 189, 986?
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 127, 840, 857, 189, 986.
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}.