LCM of 226, 484, 217, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 484, 217, 363 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 226, 484, 217, 363. So, keep reading to learn more.
Given numbers are 226,484,217,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,484,217,363 is 35604492.
Find LCM of 226,484,217,363 with Prime Factorization
| 2 | 226, 484, 217, 363 |
| 11 | 113, 242, 217, 363 |
| 11 | 113, 22, 217, 33 |
| 113, 2, 217, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 113 x 2 x 217 x 3 = 35604492
Therefore, the lowest common multiple of 226,484,217,363 is 35604492.
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.
226 x 484 x 217 x 363 = 8616287064
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.
226 : 1, 2, 113, 226
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
217 : 1, 7, 31, 217
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,484,217,363, is 1.
Now, the common factors can be found like this.
226:2x 113
484:2x 2x 11x 11
217:7x 31
363:3x 11x 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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 8616287064/(1x242)
LCM = 8616287064/242
LCM = 35604492
Thus, we can understand that the LCM of 226,484,217,363 is 35604492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 226, 484, 217, 363
1. What is the LCM of 226, 484, 217, 363?
Answer: LCM of 226, 484, 217, 363 is 35604492.
2. How to calculate the LCM of 226, 484, 217, 363?
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 226, 484, 217, 363.
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}.