LCM of 383, 586, 946, 517, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 586, 946, 517, 289 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 383, 586, 946, 517, 289. So, keep reading to learn more.
Given numbers are 383,586,946,517,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,586,946,517,289 is 1441960060442.
Find LCM of 383,586,946,517,289 with Prime Factorization
| 2 | 383, 586, 946, 517, 289 |
| 11 | 383, 293, 473, 517, 289 |
| 383, 293, 43, 47, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 383 x 293 x 43 x 47 x 289 = 1441960060442
Therefore, the lowest common multiple of 383,586,946,517,289 is 1441960060442.
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.
383 x 586 x 946 x 517 x 289 = 31723121329724
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.
383 : 1, 383
586 : 1, 2, 293, 586
946 : 1, 2, 11, 22, 43, 86, 473, 946
517 : 1, 11, 47, 517
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,586,946,517,289, is 1.
Now, the common factors can be found like this.
383:383
586:2x 293
946:2x 11x 43
517:11x 47
289:17x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 31723121329724/(1x22)
LCM = 31723121329724/22
LCM = 1441960060442
Thus, we can understand that the LCM of 383,586,946,517,289 is 1441960060442.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 383, 586, 946, 517, 289
1. What is the LCM of 383, 586, 946, 517, 289?
Answer: LCM of 383, 586, 946, 517, 289 is 1441960060442.
2. How to calculate the LCM of 383, 586, 946, 517, 289?
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 383, 586, 946, 517, 289.
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}.