LCM of 884, 937, 120, 558, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 937, 120, 558, 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 884, 937, 120, 558, 864. So, keep reading to learn more.
Given numbers are 884,937,120,558,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,937,120,558,864 is 27731751840.
Find LCM of 884,937,120,558,864 with Prime Factorization
| 2 | 884, 937, 120, 558, 864 |
| 2 | 442, 937, 60, 279, 432 |
| 2 | 221, 937, 30, 279, 216 |
| 3 | 221, 937, 15, 279, 108 |
| 3 | 221, 937, 5, 93, 36 |
| 221, 937, 5, 31, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 221 x 937 x 5 x 31 x 12 = 27731751840
Therefore, the lowest common multiple of 884,937,120,558,864 is 27731751840.
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.
884 x 937 x 120 x 558 x 864 = 47920467179520
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
937 : 1, 937
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,937,120,558,864, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
937:937
120:2x 2x 2x 3x 5
558:2x 3x 3x 31
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 47920467179520/(1x1728)
LCM = 47920467179520/1728
LCM = 27731751840
Thus, we can understand that the LCM of 884,937,120,558,864 is 27731751840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 884, 937, 120, 558, 864
1. What is the LCM of 884, 937, 120, 558, 864?
Answer: LCM of 884, 937, 120, 558, 864 is 27731751840.
2. How to calculate the LCM of 884, 937, 120, 558, 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 884, 937, 120, 558, 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}.