LCM of 289, 782, 621, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 782, 621, 311 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, 782, 621, 311. So, keep reading to learn more.
Given numbers are 289,782,621,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,782,621,311 is 111629718.
Find LCM of 289,782,621,311 with Prime Factorization
| 17 | 289, 782, 621, 311 |
| 23 | 17, 46, 621, 311 |
| 17, 2, 27, 311 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 17 x 2 x 27 x 311 = 111629718
Therefore, the lowest common multiple of 289,782,621,311 is 111629718.
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 782 x 621 x 311 = 43647219738
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
621 : 1, 3, 9, 23, 27, 69, 207, 621
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,782,621,311, is 1.
Now, the common factors can be found like this.
289:17x 17
782:2x 17x 23
621:3x 3x 3x 23
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23 = 391
Therefore, the value for common factors is 391.
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 = 43647219738/(1x391)
LCM = 43647219738/391
LCM = 111629718
Thus, we can understand that the LCM of 289,782,621,311 is 111629718.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 782, 621, 311
1. What is the LCM of 289, 782, 621, 311?
Answer: LCM of 289, 782, 621, 311 is 111629718.
2. How to calculate the LCM of 289, 782, 621, 311?
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, 782, 621, 311.
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}.