LCM of 771, 460, 340, 635, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 460, 340, 635, 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 771, 460, 340, 635, 289. So, keep reading to learn more.
Given numbers are 771,460,340,635,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,460,340,635,289 is 13017085980.
Find LCM of 771,460,340,635,289 with Prime Factorization
| 2 | 771, 460, 340, 635, 289 |
| 2 | 771, 230, 170, 635, 289 |
| 5 | 771, 115, 85, 635, 289 |
| 17 | 771, 23, 17, 127, 289 |
| 771, 23, 1, 127, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 771 x 23 x 1 x 127 x 17 = 13017085980
Therefore, the lowest common multiple of 771,460,340,635,289 is 13017085980.
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.
771 x 460 x 340 x 635 x 289 = 22129046166000
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.
771 : 1, 3, 257, 771
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
635 : 1, 5, 127, 635
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,460,340,635,289, is 1.
Now, the common factors can be found like this.
771:3x 257
460:2x 2x 5x 23
340:2x 2x 5x 17
635:5x 127
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 2x 5x 5x 17 = 1700
Therefore, the value for common factors is 1700.
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 = 22129046166000/(1x1700)
LCM = 22129046166000/1700
LCM = 13017085980
Thus, we can understand that the LCM of 771,460,340,635,289 is 13017085980.
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FAQs on LCM of 771, 460, 340, 635, 289
1. What is the LCM of 771, 460, 340, 635, 289?
Answer: LCM of 771, 460, 340, 635, 289 is 13017085980.
2. How to calculate the LCM of 771, 460, 340, 635, 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 771, 460, 340, 635, 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}.