Find the LCM of 227, 429, 676, 217 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 227, 429, 676, 217. So, keep reading to learn more.
Given numbers are 227,429,676,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,429,676,217 is 1098869772.
Find LCM of 227,429,676,217 with Prime Factorization
13 | 227, 429, 676, 217 |
227, 33, 52, 217 |
Multiply the prime numbers at the bottom and the left side.
13 x 227 x 33 x 52 x 217 = 1098869772
Therefore, the lowest common multiple of 227,429,676,217 is 1098869772.
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.
227 x 429 x 676 x 217 = 14285307036
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.
227 : 1, 227
429 : 1, 3, 11, 13, 33, 39, 143, 429
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,429,676,217, is 1.
Now, the common factors can be found like this.
227:227
429:3x 11x 13
676:2x 2x 13x 13
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 14285307036/(1x13)
LCM = 14285307036/13
LCM = 1098869772
Thus, we can understand that the LCM of 227,429,676,217 is 1098869772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 429, 676, 217?
Answer: LCM of 227, 429, 676, 217 is 1098869772.
2. How to calculate the LCM of 227, 429, 676, 217?
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 227, 429, 676, 217.
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}.