LCM of 191, 843, 731, 614, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 843, 731, 614, 966 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 191, 843, 731, 614, 966. So, keep reading to learn more.
Given numbers are 191,843,731,614,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,843,731,614,966 is 11635165523562.
Find LCM of 191,843,731,614,966 with Prime Factorization
| 2 | 191, 843, 731, 614, 966 |
| 3 | 191, 843, 731, 307, 483 |
| 191, 281, 731, 307, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 281 x 731 x 307 x 161 = 11635165523562
Therefore, the lowest common multiple of 191,843,731,614,966 is 11635165523562.
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.
191 x 843 x 731 x 614 x 966 = 69810993141372
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.
191 : 1, 191
843 : 1, 3, 281, 843
731 : 1, 17, 43, 731
614 : 1, 2, 307, 614
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,843,731,614,966, is 1.
Now, the common factors can be found like this.
191:191
843:3x 281
731:17x 43
614:2x 307
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 69810993141372/(1x6)
LCM = 69810993141372/6
LCM = 11635165523562
Thus, we can understand that the LCM of 191,843,731,614,966 is 11635165523562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 191, 843, 731, 614, 966
1. What is the LCM of 191, 843, 731, 614, 966?
Answer: LCM of 191, 843, 731, 614, 966 is 11635165523562.
2. How to calculate the LCM of 191, 843, 731, 614, 966?
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 191, 843, 731, 614, 966.
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}.