LCM of 368, 361, 864, 366, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 361, 864, 366, 226 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 368, 361, 864, 366, 226. So, keep reading to learn more.
Given numbers are 368,361,864,366,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,361,864,366,226 is 49448948256.
Find LCM of 368,361,864,366,226 with Prime Factorization
| 2 | 368, 361, 864, 366, 226 |
| 2 | 184, 361, 432, 183, 113 |
| 2 | 92, 361, 216, 183, 113 |
| 2 | 46, 361, 108, 183, 113 |
| 3 | 23, 361, 54, 183, 113 |
| 23, 361, 18, 61, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 23 x 361 x 18 x 61 x 113 = 49448948256
Therefore, the lowest common multiple of 368,361,864,366,226 is 49448948256.
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.
368 x 361 x 864 x 366 x 226 = 9494198065152
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
361 : 1, 19, 361
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
366 : 1, 2, 3, 6, 61, 122, 183, 366
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,361,864,366,226, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
361:19x 19
864:2x 2x 2x 2x 2x 3x 3x 3
366:2x 3x 61
226:2x 113
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 3 = 192
Therefore, the value for common factors is 192.
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 = 9494198065152/(1x192)
LCM = 9494198065152/192
LCM = 49448948256
Thus, we can understand that the LCM of 368,361,864,366,226 is 49448948256.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 368, 361, 864, 366, 226
1. What is the LCM of 368, 361, 864, 366, 226?
Answer: LCM of 368, 361, 864, 366, 226 is 49448948256.
2. How to calculate the LCM of 368, 361, 864, 366, 226?
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 368, 361, 864, 366, 226.
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}.