Find the LCM of 896, 821, 231, 861, 768 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, 821, 231, 861, 768. So, keep reading to learn more.
Given numbers are 896,821,231,861,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,821,231,861,768 is 1990576896.
Find LCM of 896,821,231,861,768 with Prime Factorization
2 | 896, 821, 231, 861, 768 |
2 | 448, 821, 231, 861, 384 |
2 | 224, 821, 231, 861, 192 |
2 | 112, 821, 231, 861, 96 |
2 | 56, 821, 231, 861, 48 |
2 | 28, 821, 231, 861, 24 |
2 | 14, 821, 231, 861, 12 |
3 | 7, 821, 231, 861, 6 |
7 | 7, 821, 77, 287, 2 |
1, 821, 11, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 821 x 11 x 41 x 2 = 1990576896
Therefore, the lowest common multiple of 896,821,231,861,768 is 1990576896.
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 821 x 231 x 861 x 768 = 112364084625408
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
821 : 1, 821
231 : 1, 3, 7, 11, 21, 33, 77, 231
861 : 1, 3, 7, 21, 41, 123, 287, 861
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,821,231,861,768, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
821:821
231:3x 7x 11
861:3x 7x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 7x 7 = 56448
Therefore, the value for common factors is 56448.
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 = 112364084625408/(1x56448)
LCM = 112364084625408/56448
LCM = 1990576896
Thus, we can understand that the LCM of 896,821,231,861,768 is 1990576896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 821, 231, 861, 768?
Answer: LCM of 896, 821, 231, 861, 768 is 1990576896.
2. How to calculate the LCM of 896, 821, 231, 861, 768?
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, 821, 231, 861, 768.
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}.