LCM of 398, 400, 687, 682, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 400, 687, 682, 720 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 398, 400, 687, 682, 720. So, keep reading to learn more.
Given numbers are 398,400,687,682,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,400,687,682,720 is 55942959600.
Find LCM of 398,400,687,682,720 with Prime Factorization
| 2 | 398, 400, 687, 682, 720 |
| 2 | 199, 200, 687, 341, 360 |
| 2 | 199, 100, 687, 341, 180 |
| 2 | 199, 50, 687, 341, 90 |
| 3 | 199, 25, 687, 341, 45 |
| 5 | 199, 25, 229, 341, 15 |
| 199, 5, 229, 341, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 199 x 5 x 229 x 341 x 3 = 55942959600
Therefore, the lowest common multiple of 398,400,687,682,720 is 55942959600.
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.
398 x 400 x 687 x 682 x 720 = 53705241216000
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.
398 : 1, 2, 199, 398
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
687 : 1, 3, 229, 687
682 : 1, 2, 11, 22, 31, 62, 341, 682
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,400,687,682,720, is 1.
Now, the common factors can be found like this.
398:2x 199
400:2x 2x 2x 2x 5x 5
687:3x 229
682:2x 11x 31
720:2x 2x 2x 2x 3x 3x 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 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 53705241216000/(1x960)
LCM = 53705241216000/960
LCM = 55942959600
Thus, we can understand that the LCM of 398,400,687,682,720 is 55942959600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 400, 687, 682, 720
1. What is the LCM of 398, 400, 687, 682, 720?
Answer: LCM of 398, 400, 687, 682, 720 is 55942959600.
2. How to calculate the LCM of 398, 400, 687, 682, 720?
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 398, 400, 687, 682, 720.
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}.