LCM of 684, 806, 412, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 806, 412, 760 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 684, 806, 412, 760. So, keep reading to learn more.
Given numbers are 684,806,412,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,806,412,760 is 283921560.
Find LCM of 684,806,412,760 with Prime Factorization
| 2 | 684, 806, 412, 760 |
| 2 | 342, 403, 206, 380 |
| 19 | 171, 403, 103, 190 |
| 9, 403, 103, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 9 x 403 x 103 x 10 = 283921560
Therefore, the lowest common multiple of 684,806,412,760 is 283921560.
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.
684 x 806 x 412 x 760 = 172624308480
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
806 : 1, 2, 13, 26, 31, 62, 403, 806
412 : 1, 2, 4, 103, 206, 412
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,806,412,760, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
806:2x 13x 31
412:2x 2x 103
760:2x 2x 2x 5x 19
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 2x 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 172624308480/(2x304)
LCM = 172624308480/608
LCM = 283921560
Thus, we can understand that the LCM of 684,806,412,760 is 283921560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 684, 806, 412, 760
1. What is the LCM of 684, 806, 412, 760?
Answer: LCM of 684, 806, 412, 760 is 283921560.
2. How to calculate the LCM of 684, 806, 412, 760?
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 684, 806, 412, 760.
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}.