LCM of 289, 617, 129, 816, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 617, 129, 816, 682 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, 617, 129, 816, 682. So, keep reading to learn more.
Given numbers are 289,617,129,816,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,617,129,816,682 is 125500968912.
Find LCM of 289,617,129,816,682 with Prime Factorization
| 2 | 289, 617, 129, 816, 682 |
| 3 | 289, 617, 129, 408, 341 |
| 17 | 289, 617, 43, 136, 341 |
| 17, 617, 43, 8, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 617 x 43 x 8 x 341 = 125500968912
Therefore, the lowest common multiple of 289,617,129,816,682 is 125500968912.
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 617 x 129 x 816 x 682 = 12801098829024
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
617 : 1, 617
129 : 1, 3, 43, 129
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,617,129,816,682, is 1.
Now, the common factors can be found like this.
289:17x 17
617:617
129:3x 43
816:2x 2x 2x 2x 3x 17
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 12801098829024/(1x102)
LCM = 12801098829024/102
LCM = 125500968912
Thus, we can understand that the LCM of 289,617,129,816,682 is 125500968912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 617, 129, 816, 682
1. What is the LCM of 289, 617, 129, 816, 682?
Answer: LCM of 289, 617, 129, 816, 682 is 125500968912.
2. How to calculate the LCM of 289, 617, 129, 816, 682?
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, 617, 129, 816, 682.
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}.