Find the LCM of 804, 998, 784, 264 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 804, 998, 784, 264. So, keep reading to learn more.
Given numbers are 804,998,784,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,998,784,264 is 864978576.
Find LCM of 804,998,784,264 with Prime Factorization
2 | 804, 998, 784, 264 |
2 | 402, 499, 392, 132 |
2 | 201, 499, 196, 66 |
3 | 201, 499, 98, 33 |
67, 499, 98, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 67 x 499 x 98 x 11 = 864978576
Therefore, the lowest common multiple of 804,998,784,264 is 864978576.
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.
804 x 998 x 784 x 264 = 166075886592
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
998 : 1, 2, 499, 998
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,998,784,264, is 2.
Now, the common factors can be found like this.
804:2x 2x 3x 67
998:2x 499
784:2x 2x 2x 2x 7x 7
264:2x 2x 2x 3x 11
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 3 = 96
Therefore, the value for common factors is 96.
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 = 166075886592/(2x96)
LCM = 166075886592/192
LCM = 864978576
Thus, we can understand that the LCM of 804,998,784,264 is 864978576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 804, 998, 784, 264?
Answer: LCM of 804, 998, 784, 264 is 864978576.
2. How to calculate the LCM of 804, 998, 784, 264?
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 804, 998, 784, 264.
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}.