LCM of 778, 405, 305, 760, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 405, 305, 760, 389 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 778, 405, 305, 760, 389. So, keep reading to learn more.
Given numbers are 778,405,305,760,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,405,305,760,389 is 1460757240.
Find LCM of 778,405,305,760,389 with Prime Factorization
| 2 | 778, 405, 305, 760, 389 |
| 5 | 389, 405, 305, 380, 389 |
| 389 | 389, 81, 61, 76, 389 |
| 1, 81, 61, 76, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 389 x 1 x 81 x 61 x 76 x 1 = 1460757240
Therefore, the lowest common multiple of 778,405,305,760,389 is 1460757240.
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.
778 x 405 x 305 x 760 x 389 = 28411728318000
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.
778 : 1, 2, 389, 778
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
305 : 1, 5, 61, 305
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,405,305,760,389, is 1.
Now, the common factors can be found like this.
778:2x 389
405:3x 3x 3x 3x 5
305:5x 61
760:2x 2x 2x 5x 19
389:389
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 389 = 19450
Therefore, the value for common factors is 19450.
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 = 28411728318000/(1x19450)
LCM = 28411728318000/19450
LCM = 1460757240
Thus, we can understand that the LCM of 778,405,305,760,389 is 1460757240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 405, 305, 760, 389
1. What is the LCM of 778, 405, 305, 760, 389?
Answer: LCM of 778, 405, 305, 760, 389 is 1460757240.
2. How to calculate the LCM of 778, 405, 305, 760, 389?
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 778, 405, 305, 760, 389.
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}.