Find the LCM of 678, 121, 405, 385 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 678, 121, 405, 385. So, keep reading to learn more.
Given numbers are 678,121,405,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,121,405,385 is 77525910.
Find LCM of 678,121,405,385 with Prime Factorization
3 | 678, 121, 405, 385 |
5 | 226, 121, 135, 385 |
11 | 226, 121, 27, 77 |
226, 11, 27, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 226 x 11 x 27 x 7 = 77525910
Therefore, the lowest common multiple of 678,121,405,385 is 77525910.
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.
678 x 121 x 405 x 385 = 12791775150
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
121 : 1, 11, 121
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,121,405,385, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
121:11x 11
405:3x 3x 3x 3x 5
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 12791775150/(1x165)
LCM = 12791775150/165
LCM = 77525910
Thus, we can understand that the LCM of 678,121,405,385 is 77525910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 121, 405, 385?
Answer: LCM of 678, 121, 405, 385 is 77525910.
2. How to calculate the LCM of 678, 121, 405, 385?
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 678, 121, 405, 385.
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}.