Find the LCM of 928, 734, 444, 510, 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 928, 734, 444, 510, 400. So, keep reading to learn more.
Given numbers are 928,734,444,510,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,734,444,510,400 is 16066672800.
Find LCM of 928,734,444,510,400 with Prime Factorization
2 | 928, 734, 444, 510, 400 |
2 | 464, 367, 222, 255, 200 |
2 | 232, 367, 111, 255, 100 |
2 | 116, 367, 111, 255, 50 |
3 | 58, 367, 111, 255, 25 |
5 | 58, 367, 37, 85, 25 |
58, 367, 37, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 58 x 367 x 37 x 17 x 5 = 16066672800
Therefore, the lowest common multiple of 928,734,444,510,400 is 16066672800.
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.
928 x 734 x 444 x 510 x 400 = 61696023552000
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
734 : 1, 2, 367, 734
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,734,444,510,400, is 2.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
734:2x 367
444:2x 2x 3x 37
510:2x 3x 5x 17
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 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 61696023552000/(2x1920)
LCM = 61696023552000/3840
LCM = 16066672800
Thus, we can understand that the LCM of 928,734,444,510,400 is 16066672800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 734, 444, 510, 400?
Answer: LCM of 928, 734, 444, 510, 400 is 16066672800.
2. How to calculate the LCM of 928, 734, 444, 510, 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 928, 734, 444, 510, 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}.