Find the LCM of 775, 864, 944, 728, 444 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 775, 864, 944, 728, 444. So, keep reading to learn more.
Given numbers are 775,864,944,728,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,864,944,728,444 is 133018048800.
Find LCM of 775,864,944,728,444 with Prime Factorization
2 | 775, 864, 944, 728, 444 |
2 | 775, 432, 472, 364, 222 |
2 | 775, 216, 236, 182, 111 |
2 | 775, 108, 118, 91, 111 |
3 | 775, 54, 59, 91, 111 |
775, 18, 59, 91, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 775 x 18 x 59 x 91 x 37 = 133018048800
Therefore, the lowest common multiple of 775,864,944,728,444 is 133018048800.
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.
775 x 864 x 944 x 728 x 444 = 204315722956800
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.
775 : 1, 5, 25, 31, 155, 775
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,864,944,728,444, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
864:2x 2x 2x 2x 2x 3x 3x 3
944:2x 2x 2x 2x 59
728:2x 2x 2x 7x 13
444:2x 2x 3x 37
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 3 = 1536
Therefore, the value for common factors is 1536.
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 = 204315722956800/(1x1536)
LCM = 204315722956800/1536
LCM = 133018048800
Thus, we can understand that the LCM of 775,864,944,728,444 is 133018048800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 864, 944, 728, 444?
Answer: LCM of 775, 864, 944, 728, 444 is 133018048800.
2. How to calculate the LCM of 775, 864, 944, 728, 444?
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 775, 864, 944, 728, 444.
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}.