Find the LCM of 687, 538, 470, 400 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 687, 538, 470, 400. So, keep reading to learn more.
Given numbers are 687,538,470,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,538,470,400 is 3474296400.
Find LCM of 687,538,470,400 with Prime Factorization
2 | 687, 538, 470, 400 |
5 | 687, 269, 235, 200 |
687, 269, 47, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 687 x 269 x 47 x 40 = 3474296400
Therefore, the lowest common multiple of 687,538,470,400 is 3474296400.
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.
687 x 538 x 470 x 400 = 69485928000
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.
687 : 1, 3, 229, 687
538 : 1, 2, 269, 538
470 : 1, 2, 5, 10, 47, 94, 235, 470
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,538,470,400, is 1.
Now, the common factors can be found like this.
687:3x 229
538:2x 269
470:2x 5x 47
400:2x 2x 2x 2x 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 5 = 20
Therefore, the value for common factors is 20.
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 = 69485928000/(1x20)
LCM = 69485928000/20
LCM = 3474296400
Thus, we can understand that the LCM of 687,538,470,400 is 3474296400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 538, 470, 400?
Answer: LCM of 687, 538, 470, 400 is 3474296400.
2. How to calculate the LCM of 687, 538, 470, 400?
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 687, 538, 470, 400.
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}.