LCM of 771, 590, 715, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 590, 715, 789 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, 590, 715, 789. So, keep reading to learn more.
Given numbers are 771,590,715,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,590,715,789 is 17107958010.
Find LCM of 771,590,715,789 with Prime Factorization
| 3 | 771, 590, 715, 789 |
| 5 | 257, 590, 715, 263 |
| 257, 118, 143, 263 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 257 x 118 x 143 x 263 = 17107958010
Therefore, the lowest common multiple of 771,590,715,789 is 17107958010.
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 590 x 715 x 789 = 256619370150
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
715 : 1, 5, 11, 13, 55, 65, 143, 715
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,590,715,789, is 1.
Now, the common factors can be found like this.
771:3x 257
590:2x 5x 59
715:5x 11x 13
789:3x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 256619370150/(1x15)
LCM = 256619370150/15
LCM = 17107958010
Thus, we can understand that the LCM of 771,590,715,789 is 17107958010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 590, 715, 789
1. What is the LCM of 771, 590, 715, 789?
Answer: LCM of 771, 590, 715, 789 is 17107958010.
2. How to calculate the LCM of 771, 590, 715, 789?
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, 590, 715, 789.
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}.