LCM of 323, 516, 882, 513, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 516, 882, 513, 238 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, 516, 882, 513, 238. So, keep reading to learn more.
Given numbers are 323,516,882,513,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,516,882,513,238 is 73500588.
Find LCM of 323,516,882,513,238 with Prime Factorization
| 2 | 323, 516, 882, 513, 238 |
| 3 | 323, 258, 441, 513, 119 |
| 3 | 323, 86, 147, 171, 119 |
| 7 | 323, 86, 49, 57, 119 |
| 17 | 323, 86, 7, 57, 17 |
| 19 | 19, 86, 7, 57, 1 |
| 1, 86, 7, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 19 x 1 x 86 x 7 x 3 x 1 = 73500588
Therefore, the lowest common multiple of 323,516,882,513,238 is 73500588.
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 516 x 882 x 513 x 238 = 17947961582544
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
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
513 : 1, 3, 9, 19, 27, 57, 171, 513
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,516,882,513,238, is 1.
Now, the common factors can be found like this.
323:17x 19
516:2x 2x 3x 43
882:2x 3x 3x 7x 7
513:3x 3x 3x 19
238:2x 7x 17
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 3x 3x 3x 7x 17x 19 = 244188
Therefore, the value for common factors is 244188.
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 = 17947961582544/(1x244188)
LCM = 17947961582544/244188
LCM = 73500588
Thus, we can understand that the LCM of 323,516,882,513,238 is 73500588.
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FAQs on LCM of 323, 516, 882, 513, 238
1. What is the LCM of 323, 516, 882, 513, 238?
Answer: LCM of 323, 516, 882, 513, 238 is 73500588.
2. How to calculate the LCM of 323, 516, 882, 513, 238?
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, 516, 882, 513, 238.
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}.