Find the LCM of 896, 741, 247, 750 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 896, 741, 247, 750. So, keep reading to learn more.
Given numbers are 896,741,247,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,741,247,750 is 82992000.
Find LCM of 896,741,247,750 with Prime Factorization
2 | 896, 741, 247, 750 |
3 | 448, 741, 247, 375 |
13 | 448, 247, 247, 125 |
19 | 448, 19, 19, 125 |
448, 1, 1, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 448 x 1 x 1 x 125 = 82992000
Therefore, the lowest common multiple of 896,741,247,750 is 82992000.
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.
896 x 741 x 247 x 750 = 122994144000
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
741 : 1, 3, 13, 19, 39, 57, 247, 741
247 : 1, 13, 19, 247
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,741,247,750, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
741:3x 13x 19
247:13x 19
750:2x 3x 5x 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 3x 13x 19 = 1482
Therefore, the value for common factors is 1482.
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 = 122994144000/(1x1482)
LCM = 122994144000/1482
LCM = 82992000
Thus, we can understand that the LCM of 896,741,247,750 is 82992000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 741, 247, 750?
Answer: LCM of 896, 741, 247, 750 is 82992000.
2. How to calculate the LCM of 896, 741, 247, 750?
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 896, 741, 247, 750.
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}.