Find the LCM of 212, 394, 208, 546 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 212, 394, 208, 546. So, keep reading to learn more.
Given numbers are 212,394,208,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,394,208,546 is 45606288.
Find LCM of 212,394,208,546 with Prime Factorization
2 | 212, 394, 208, 546 |
2 | 106, 197, 104, 273 |
13 | 53, 197, 52, 273 |
53, 197, 4, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 197 x 4 x 21 = 45606288
Therefore, the lowest common multiple of 212,394,208,546 is 45606288.
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.
212 x 394 x 208 x 546 = 9486107904
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.
212 : 1, 2, 4, 53, 106, 212
394 : 1, 2, 197, 394
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,394,208,546, is 2.
Now, the common factors can be found like this.
212:2x 2x 53
394:2x 197
208:2x 2x 2x 2x 13
546:2x 3x 7x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 9486107904/(2x104)
LCM = 9486107904/208
LCM = 45606288
Thus, we can understand that the LCM of 212,394,208,546 is 45606288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 394, 208, 546?
Answer: LCM of 212, 394, 208, 546 is 45606288.
2. How to calculate the LCM of 212, 394, 208, 546?
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 212, 394, 208, 546.
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}.