LCM of 323, 217, 311, 817, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 217, 311, 817, 973 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 323, 217, 311, 817, 973. So, keep reading to learn more.
Given numbers are 323,217,311,817,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,217,311,817,973 is 130288445077.
Find LCM of 323,217,311,817,973 with Prime Factorization
| 7 | 323, 217, 311, 817, 973 |
| 19 | 323, 31, 311, 817, 139 |
| 17, 31, 311, 43, 139 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 17 x 31 x 311 x 43 x 139 = 130288445077
Therefore, the lowest common multiple of 323,217,311,817,973 is 130288445077.
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.
323 x 217 x 311 x 817 x 973 = 17328363195241
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.
323 : 1, 17, 19, 323
217 : 1, 7, 31, 217
311 : 1, 311
817 : 1, 19, 43, 817
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,217,311,817,973, is 1.
Now, the common factors can be found like this.
323:17x 19
217:7x 31
311:311
817:19x 43
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 17328363195241/(1x133)
LCM = 17328363195241/133
LCM = 130288445077
Thus, we can understand that the LCM of 323,217,311,817,973 is 130288445077.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 217, 311, 817, 973
1. What is the LCM of 323, 217, 311, 817, 973?
Answer: LCM of 323, 217, 311, 817, 973 is 130288445077.
2. How to calculate the LCM of 323, 217, 311, 817, 973?
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 323, 217, 311, 817, 973.
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}.