LCM of 232, 290, 976, 484, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 290, 976, 484, 704 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 232, 290, 976, 484, 704. So, keep reading to learn more.
Given numbers are 232,290,976,484,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,290,976,484,704 is 68495680.
Find LCM of 232,290,976,484,704 with Prime Factorization
| 2 | 232, 290, 976, 484, 704 |
| 2 | 116, 145, 488, 242, 352 |
| 2 | 58, 145, 244, 121, 176 |
| 2 | 29, 145, 122, 121, 88 |
| 11 | 29, 145, 61, 121, 44 |
| 29 | 29, 145, 61, 11, 4 |
| 1, 5, 61, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 29 x 1 x 5 x 61 x 11 x 4 = 68495680
Therefore, the lowest common multiple of 232,290,976,484,704 is 68495680.
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.
232 x 290 x 976 x 484 x 704 = 22374524846080
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
290 : 1, 2, 5, 10, 29, 58, 145, 290
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,290,976,484,704, is 2.
Now, the common factors can be found like this.
232:2x 2x 2x 29
290:2x 5x 29
976:2x 2x 2x 2x 61
484:2x 2x 11x 11
704:2x 2x 2x 2x 2x 2x 11
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 2x 11x 29 = 163328
Therefore, the value for common factors is 163328.
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 = 22374524846080/(2x163328)
LCM = 22374524846080/326656
LCM = 68495680
Thus, we can understand that the LCM of 232,290,976,484,704 is 68495680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 290, 976, 484, 704
1. What is the LCM of 232, 290, 976, 484, 704?
Answer: LCM of 232, 290, 976, 484, 704 is 68495680.
2. How to calculate the LCM of 232, 290, 976, 484, 704?
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 232, 290, 976, 484, 704.
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}.