Find the LCM of 779, 974, 388, 444, 999 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 779, 974, 388, 444, 999. So, keep reading to learn more.
Given numbers are 779,974,388,444,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,974,388,444,999 is 147049527276.
Find LCM of 779,974,388,444,999 with Prime Factorization
2 | 779, 974, 388, 444, 999 |
2 | 779, 487, 194, 222, 999 |
3 | 779, 487, 97, 111, 999 |
37 | 779, 487, 97, 37, 333 |
779, 487, 97, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 779 x 487 x 97 x 1 x 9 = 147049527276
Therefore, the lowest common multiple of 779,974,388,444,999 is 147049527276.
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.
779 x 974 x 388 x 444 x 999 = 130579980221088
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.
779 : 1, 19, 41, 779
974 : 1, 2, 487, 974
388 : 1, 2, 4, 97, 194, 388
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,974,388,444,999, is 1.
Now, the common factors can be found like this.
779:19x 41
974:2x 487
388:2x 2x 97
444:2x 2x 3x 37
999:3x 3x 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 3x 37 = 888
Therefore, the value for common factors is 888.
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 = 130579980221088/(1x888)
LCM = 130579980221088/888
LCM = 147049527276
Thus, we can understand that the LCM of 779,974,388,444,999 is 147049527276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 974, 388, 444, 999?
Answer: LCM of 779, 974, 388, 444, 999 is 147049527276.
2. How to calculate the LCM of 779, 974, 388, 444, 999?
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 779, 974, 388, 444, 999.
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}.