LCM of 289, 217, 341, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 217, 341, 363 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, 217, 341, 363. So, keep reading to learn more.
Given numbers are 289,217,341,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,217,341,363 is 22764819.
Find LCM of 289,217,341,363 with Prime Factorization
| 11 | 289, 217, 341, 363 |
| 31 | 289, 217, 31, 33 |
| 289, 7, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 289 x 7 x 1 x 33 = 22764819
Therefore, the lowest common multiple of 289,217,341,363 is 22764819.
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 217 x 341 x 363 = 7762803279
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
217 : 1, 7, 31, 217
341 : 1, 11, 31, 341
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,217,341,363, is 1.
Now, the common factors can be found like this.
289:17x 17
217:7x 31
341:11x 31
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 7762803279/(1x341)
LCM = 7762803279/341
LCM = 22764819
Thus, we can understand that the LCM of 289,217,341,363 is 22764819.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 217, 341, 363
1. What is the LCM of 289, 217, 341, 363?
Answer: LCM of 289, 217, 341, 363 is 22764819.
2. How to calculate the LCM of 289, 217, 341, 363?
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, 217, 341, 363.
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}.