LCM of 685, 343, 960, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 343, 960, 861 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 685, 343, 960, 861. So, keep reading to learn more.
Given numbers are 685,343,960,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,343,960,861 is 1849565760.
Find LCM of 685,343,960,861 with Prime Factorization
| 3 | 685, 343, 960, 861 |
| 5 | 685, 343, 320, 287 |
| 7 | 137, 343, 64, 287 |
| 137, 49, 64, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 137 x 49 x 64 x 41 = 1849565760
Therefore, the lowest common multiple of 685,343,960,861 is 1849565760.
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.
685 x 343 x 960 x 861 = 194204404800
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.
685 : 1, 5, 137, 685
343 : 1, 7, 49, 343
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,343,960,861, is 1.
Now, the common factors can be found like this.
685:5x 137
343:7x 7x 7
960:2x 2x 2x 2x 2x 2x 3x 5
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 194204404800/(1x105)
LCM = 194204404800/105
LCM = 1849565760
Thus, we can understand that the LCM of 685,343,960,861 is 1849565760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 685, 343, 960, 861
1. What is the LCM of 685, 343, 960, 861?
Answer: LCM of 685, 343, 960, 861 is 1849565760.
2. How to calculate the LCM of 685, 343, 960, 861?
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 685, 343, 960, 861.
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}.