LCM of 982, 600, 884, 936, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 600, 884, 936, 864 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 982, 600, 884, 936, 864. So, keep reading to learn more.
Given numbers are 982,600,884,936,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,600,884,936,864 is 2343837600.
Find LCM of 982,600,884,936,864 with Prime Factorization
| 2 | 982, 600, 884, 936, 864 |
| 2 | 491, 300, 442, 468, 432 |
| 2 | 491, 150, 221, 234, 216 |
| 3 | 491, 75, 221, 117, 108 |
| 3 | 491, 25, 221, 39, 36 |
| 13 | 491, 25, 221, 13, 12 |
| 491, 25, 17, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 491 x 25 x 17 x 1 x 12 = 2343837600
Therefore, the lowest common multiple of 982,600,884,936,864 is 2343837600.
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.
982 x 600 x 884 x 936 x 864 = 421215742771200
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.
982 : 1, 2, 491, 982
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,600,884,936,864, is 2.
Now, the common factors can be found like this.
982:2x 491
600:2x 2x 2x 3x 5x 5
884:2x 2x 13x 17
936:2x 2x 2x 3x 3x 13
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2x 2x 2x 2x 3x 3x 3x 13 = 89856
Therefore, the value for common factors is 89856.
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 = 421215742771200/(2x89856)
LCM = 421215742771200/179712
LCM = 2343837600
Thus, we can understand that the LCM of 982,600,884,936,864 is 2343837600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 982, 600, 884, 936, 864
1. What is the LCM of 982, 600, 884, 936, 864?
Answer: LCM of 982, 600, 884, 936, 864 is 2343837600.
2. How to calculate the LCM of 982, 600, 884, 936, 864?
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 982, 600, 884, 936, 864.
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}.