LCM of 933, 218, 618, 896, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 218, 618, 896, 502 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 933, 218, 618, 896, 502. So, keep reading to learn more.
Given numbers are 933,218,618,896,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,218,618,896,502 is 2355738596736.
Find LCM of 933,218,618,896,502 with Prime Factorization
| 2 | 933, 218, 618, 896, 502 |
| 3 | 933, 109, 309, 448, 251 |
| 311, 109, 103, 448, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 311 x 109 x 103 x 448 x 251 = 2355738596736
Therefore, the lowest common multiple of 933,218,618,896,502 is 2355738596736.
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.
933 x 218 x 618 x 896 x 502 = 56537726321664
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.
933 : 1, 3, 311, 933
218 : 1, 2, 109, 218
618 : 1, 2, 3, 6, 103, 206, 309, 618
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,218,618,896,502, is 1.
Now, the common factors can be found like this.
933:3x 311
218:2x 109
618:2x 3x 103
896:2x 2x 2x 2x 2x 2x 2x 7
502:2x 251
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 = 56537726321664/(1x24)
LCM = 56537726321664/24
LCM = 2355738596736
Thus, we can understand that the LCM of 933,218,618,896,502 is 2355738596736.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 933, 218, 618, 896, 502
1. What is the LCM of 933, 218, 618, 896, 502?
Answer: LCM of 933, 218, 618, 896, 502 is 2355738596736.
2. How to calculate the LCM of 933, 218, 618, 896, 502?
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 933, 218, 618, 896, 502.
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}.