LCM of 289, 662, 442, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 662, 442, 394 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, 662, 442, 394. So, keep reading to learn more.
Given numbers are 289,662,442,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,662,442,394 is 489965398.
Find LCM of 289,662,442,394 with Prime Factorization
| 2 | 289, 662, 442, 394 |
| 17 | 289, 331, 221, 197 |
| 17, 331, 13, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 331 x 13 x 197 = 489965398
Therefore, the lowest common multiple of 289,662,442,394 is 489965398.
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 662 x 442 x 394 = 33317647064
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
662 : 1, 2, 331, 662
442 : 1, 2, 13, 17, 26, 34, 221, 442
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,662,442,394, is 1.
Now, the common factors can be found like this.
289:17x 17
662:2x 331
442:2x 13x 17
394:2x 197
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 17 = 68
Therefore, the value for common factors is 68.
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 = 33317647064/(1x68)
LCM = 33317647064/68
LCM = 489965398
Thus, we can understand that the LCM of 289,662,442,394 is 489965398.
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FAQs on LCM of 289, 662, 442, 394
1. What is the LCM of 289, 662, 442, 394?
Answer: LCM of 289, 662, 442, 394 is 489965398.
2. How to calculate the LCM of 289, 662, 442, 394?
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, 662, 442, 394.
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}.