Find the LCM of 867, 896, 776, 800, 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 867, 896, 776, 800, 768. So, keep reading to learn more.
Given numbers are 867,896,776,800,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,896,776,800,768 is 3767635200.
Find LCM of 867,896,776,800,768 with Prime Factorization
2 | 867, 896, 776, 800, 768 |
2 | 867, 448, 388, 400, 384 |
2 | 867, 224, 194, 200, 192 |
2 | 867, 112, 97, 100, 96 |
2 | 867, 56, 97, 50, 48 |
2 | 867, 28, 97, 25, 24 |
2 | 867, 14, 97, 25, 12 |
3 | 867, 7, 97, 25, 6 |
289, 7, 97, 25, 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 289 x 7 x 97 x 25 x 2 = 3767635200
Therefore, the lowest common multiple of 867,896,776,800,768 is 3767635200.
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.
867 x 896 x 776 x 800 x 768 = 370373610700800
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.
867 : 1, 3, 17, 51, 289, 867
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
776 : 1, 2, 4, 8, 97, 194, 388, 776
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 867,896,776,800,768, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
896:2x 2x 2x 2x 2x 2x 2x 7
776:2x 2x 2x 97
800:2x 2x 2x 2x 2x 5x 5
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 2x 2x 2x 2x 2x 2x 2x 2x 3 = 98304
Therefore, the value for common factors is 98304.
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 = 370373610700800/(1x98304)
LCM = 370373610700800/98304
LCM = 3767635200
Thus, we can understand that the LCM of 867,896,776,800,768 is 3767635200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 896, 776, 800, 768?
Answer: LCM of 867, 896, 776, 800, 768 is 3767635200.
2. How to calculate the LCM of 867, 896, 776, 800, 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 867, 896, 776, 800, 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}.