Find the LCM of 925, 800, 537, 250, 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 925, 800, 537, 250, 400. So, keep reading to learn more.
Given numbers are 925,800,537,250,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,800,537,250,400 is 79476000.
Find LCM of 925,800,537,250,400 with Prime Factorization
2 | 925, 800, 537, 250, 400 |
2 | 925, 400, 537, 125, 200 |
2 | 925, 100, 537, 125, 200 |
2 | 925, 50, 537, 125, 100 |
5 | 925, 25, 537, 125, 50 |
5 | 185, 5, 537, 25, 10 |
37, 1, 537, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 37 x 1 x 537 x 5 x 2 = 79476000
Therefore, the lowest common multiple of 925,800,537,250,400 is 79476000.
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.
925 x 800 x 537 x 250 x 400 = 39738000000000
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.
925 : 1, 5, 25, 37, 185, 925
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
537 : 1, 3, 179, 537
250 : 1, 2, 5, 10, 25, 50, 125, 250
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 925,800,537,250,400, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
800:2x 2x 2x 2x 2x 5x 5
537:3x 179
250:2x 5x 5x 5
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 2x 2x 2x 5x 5x 5x 5x 5x 5 = 500000
Therefore, the value for common factors is 500000.
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 = 39738000000000/(1x500000)
LCM = 39738000000000/500000
LCM = 79476000
Thus, we can understand that the LCM of 925,800,537,250,400 is 79476000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 800, 537, 250, 400?
Answer: LCM of 925, 800, 537, 250, 400 is 79476000.
2. How to calculate the LCM of 925, 800, 537, 250, 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 925, 800, 537, 250, 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}.