Find the LCM of 316, 227, 702, 174, 696 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 316, 227, 702, 174, 696. So, keep reading to learn more.
Given numbers are 316,227,702,174,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,227,702,174,696 is 1460320056.
Find LCM of 316,227,702,174,696 with Prime Factorization
2 | 316, 227, 702, 174, 696 |
2 | 158, 227, 351, 87, 348 |
3 | 79, 227, 351, 87, 174 |
29 | 79, 227, 117, 29, 58 |
79, 227, 117, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 79 x 227 x 117 x 1 x 2 = 1460320056
Therefore, the lowest common multiple of 316,227,702,174,696 is 1460320056.
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.
316 x 227 x 702 x 174 x 696 = 6098296553856
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.
316 : 1, 2, 4, 79, 158, 316
227 : 1, 227
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
174 : 1, 2, 3, 6, 29, 58, 87, 174
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,227,702,174,696, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
227:227
702:2x 3x 3x 3x 13
174:2x 3x 29
696:2x 2x 2x 3x 29
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 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 6098296553856/(1x4176)
LCM = 6098296553856/4176
LCM = 1460320056
Thus, we can understand that the LCM of 316,227,702,174,696 is 1460320056.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 316, 227, 702, 174, 696?
Answer: LCM of 316, 227, 702, 174, 696 is 1460320056.
2. How to calculate the LCM of 316, 227, 702, 174, 696?
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 316, 227, 702, 174, 696.
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}.