LCM of 289, 219, 263, 231, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 219, 263, 231, 493 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 289, 219, 263, 231, 493. So, keep reading to learn more.
Given numbers are 289,219,263,231,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,219,263,231,493 is 37169475189.
Find LCM of 289,219,263,231,493 with Prime Factorization
| 3 | 289, 219, 263, 231, 493 |
| 17 | 289, 73, 263, 77, 493 |
| 17, 73, 263, 77, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 17 x 73 x 263 x 77 x 29 = 37169475189
Therefore, the lowest common multiple of 289,219,263,231,493 is 37169475189.
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.
289 x 219 x 263 x 231 x 493 = 1895643234639
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.
289 : 1, 17, 289
219 : 1, 3, 73, 219
263 : 1, 263
231 : 1, 3, 7, 11, 21, 33, 77, 231
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,219,263,231,493, is 1.
Now, the common factors can be found like this.
289:17x 17
219:3x 73
263:263
231:3x 7x 11
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 1895643234639/(1x51)
LCM = 1895643234639/51
LCM = 37169475189
Thus, we can understand that the LCM of 289,219,263,231,493 is 37169475189.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 219, 263, 231, 493
1. What is the LCM of 289, 219, 263, 231, 493?
Answer: LCM of 289, 219, 263, 231, 493 is 37169475189.
2. How to calculate the LCM of 289, 219, 263, 231, 493?
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 289, 219, 263, 231, 493.
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}.