LCM of 643, 988, 818, 867, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 988, 818, 867, 984 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 643, 988, 818, 867, 984. So, keep reading to learn more.
Given numbers are 643,988,818,867,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,988,818,867,984 is 18472436204664.
Find LCM of 643,988,818,867,984 with Prime Factorization
| 2 | 643, 988, 818, 867, 984 |
| 2 | 643, 494, 409, 867, 492 |
| 3 | 643, 247, 409, 867, 246 |
| 643, 247, 409, 289, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 643 x 247 x 409 x 289 x 82 = 18472436204664
Therefore, the lowest common multiple of 643,988,818,867,984 is 18472436204664.
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.
643 x 988 x 818 x 867 x 984 = 443338468911936
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.
643 : 1, 643
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
818 : 1, 2, 409, 818
867 : 1, 3, 17, 51, 289, 867
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,988,818,867,984, is 1.
Now, the common factors can be found like this.
643:643
988:2x 2x 13x 19
818:2x 409
867:3x 17x 17
984:2x 2x 2x 3x 41
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 3 = 24
Therefore, the value for common factors is 24.
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 = 443338468911936/(1x24)
LCM = 443338468911936/24
LCM = 18472436204664
Thus, we can understand that the LCM of 643,988,818,867,984 is 18472436204664.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 643, 988, 818, 867, 984
1. What is the LCM of 643, 988, 818, 867, 984?
Answer: LCM of 643, 988, 818, 867, 984 is 18472436204664.
2. How to calculate the LCM of 643, 988, 818, 867, 984?
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 643, 988, 818, 867, 984.
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}.