LCM of 337, 680, 867, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 680, 867, 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 337, 680, 867, 289. So, keep reading to learn more.
Given numbers are 337,680,867,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,680,867,289 is 11687160.
Find LCM of 337,680,867,289 with Prime Factorization
| 17 | 337, 680, 867, 289 |
| 17 | 337, 40, 51, 17 |
| 337, 40, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 337 x 40 x 3 x 1 = 11687160
Therefore, the lowest common multiple of 337,680,867,289 is 11687160.
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.
337 x 680 x 867 x 289 = 57419017080
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.
337 : 1, 337
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
867 : 1, 3, 17, 51, 289, 867
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,680,867,289, is 1.
Now, the common factors can be found like this.
337:337
680:2x 2x 2x 5x 17
867:3x 17x 17
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.
17x 17x 17 = 4913
Therefore, the value for common factors is 4913.
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 = 57419017080/(1x4913)
LCM = 57419017080/4913
LCM = 11687160
Thus, we can understand that the LCM of 337,680,867,289 is 11687160.
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FAQs on LCM of 337, 680, 867, 289
1. What is the LCM of 337, 680, 867, 289?
Answer: LCM of 337, 680, 867, 289 is 11687160.
2. How to calculate the LCM of 337, 680, 867, 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 337, 680, 867, 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}.