Find the LCM of 388, 456, 760, 779 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 388, 456, 760, 779. So, keep reading to learn more.
Given numbers are 388,456,760,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,456,760,779 is 9067560.
Find LCM of 388,456,760,779 with Prime Factorization
2 | 388, 456, 760, 779 |
2 | 194, 228, 380, 779 |
2 | 97, 114, 190, 779 |
19 | 97, 57, 95, 779 |
97, 3, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 97 x 3 x 5 x 41 = 9067560
Therefore, the lowest common multiple of 388,456,760,779 is 9067560.
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.
388 x 456 x 760 x 779 = 104748453120
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.
388 : 1, 2, 4, 97, 194, 388
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,456,760,779, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
456:2x 2x 2x 3x 19
760:2x 2x 2x 5x 19
779:19x 41
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 19x 19 = 11552
Therefore, the value for common factors is 11552.
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 = 104748453120/(1x11552)
LCM = 104748453120/11552
LCM = 9067560
Thus, we can understand that the LCM of 388,456,760,779 is 9067560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 456, 760, 779?
Answer: LCM of 388, 456, 760, 779 is 9067560.
2. How to calculate the LCM of 388, 456, 760, 779?
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 388, 456, 760, 779.
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}.