LCM of 689, 343, 656, 960, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 343, 656, 960, 675 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 689, 343, 656, 960, 675. So, keep reading to learn more.
Given numbers are 689,343,656,960,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,343,656,960,675 is 418582382400.
Find LCM of 689,343,656,960,675 with Prime Factorization
| 2 | 689, 343, 656, 960, 675 |
| 2 | 689, 343, 328, 480, 675 |
| 2 | 689, 343, 164, 240, 675 |
| 2 | 689, 343, 82, 120, 675 |
| 3 | 689, 343, 41, 60, 675 |
| 5 | 689, 343, 41, 20, 225 |
| 689, 343, 41, 4, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 689 x 343 x 41 x 4 x 45 = 418582382400
Therefore, the lowest common multiple of 689,343,656,960,675 is 418582382400.
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.
689 x 343 x 656 x 960 x 675 = 100459771776000
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.
689 : 1, 13, 53, 689
343 : 1, 7, 49, 343
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,343,656,960,675, is 1.
Now, the common factors can be found like this.
689:13x 53
343:7x 7x 7
656:2x 2x 2x 2x 41
960:2x 2x 2x 2x 2x 2x 3x 5
675:3x 3x 3x 5x 5
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 100459771776000/(1x240)
LCM = 100459771776000/240
LCM = 418582382400
Thus, we can understand that the LCM of 689,343,656,960,675 is 418582382400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 689, 343, 656, 960, 675
1. What is the LCM of 689, 343, 656, 960, 675?
Answer: LCM of 689, 343, 656, 960, 675 is 418582382400.
2. How to calculate the LCM of 689, 343, 656, 960, 675?
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 689, 343, 656, 960, 675.
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}.