Find the LCM of 134, 209, 635, 738, 438 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 134, 209, 635, 738, 438. So, keep reading to learn more.
Given numbers are 134,209,635,738,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,209,635,738,438 is 479042489970.
Find LCM of 134,209,635,738,438 with Prime Factorization
2 | 134, 209, 635, 738, 438 |
3 | 67, 209, 635, 369, 219 |
67, 209, 635, 123, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 209 x 635 x 123 x 73 = 479042489970
Therefore, the lowest common multiple of 134,209,635,738,438 is 479042489970.
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.
134 x 209 x 635 x 738 x 438 = 5748509879640
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.
134 : 1, 2, 67, 134
209 : 1, 11, 19, 209
635 : 1, 5, 127, 635
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,209,635,738,438, is 1.
Now, the common factors can be found like this.
134:2x 67
209:11x 19
635:5x 127
738:2x 3x 3x 41
438:2x 3x 73
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5748509879640/(1x12)
LCM = 5748509879640/12
LCM = 479042489970
Thus, we can understand that the LCM of 134,209,635,738,438 is 479042489970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 134, 209, 635, 738, 438?
Answer: LCM of 134, 209, 635, 738, 438 is 479042489970.
2. How to calculate the LCM of 134, 209, 635, 738, 438?
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 134, 209, 635, 738, 438.
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}.