Find the LCM of 278, 776, 394, 394 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 278, 776, 394, 394. So, keep reading to learn more.
Given numbers are 278,776,394,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,776,394,394 is 21249208.
Find LCM of 278,776,394,394 with Prime Factorization
2 | 278, 776, 394, 394 |
197 | 139, 388, 197, 197 |
139, 388, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 139 x 388 x 1 x 1 = 21249208
Therefore, the lowest common multiple of 278,776,394,394 is 21249208.
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.
278 x 776 x 394 x 394 = 33488751808
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.
278 : 1, 2, 139, 278
776 : 1, 2, 4, 8, 97, 194, 388, 776
394 : 1, 2, 197, 394
394 : 1, 2, 197, 394
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,776,394,394, is 2.
Now, the common factors can be found like this.
278:2x 139
776:2x 2x 2x 97
394:2x 197
394:2x 197
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 197 = 788
Therefore, the value for common factors is 788.
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 = 33488751808/(2x788)
LCM = 33488751808/1576
LCM = 21249208
Thus, we can understand that the LCM of 278,776,394,394 is 21249208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 776, 394, 394?
Answer: LCM of 278, 776, 394, 394 is 21249208.
2. How to calculate the LCM of 278, 776, 394, 394?
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 278, 776, 394, 394.
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}.