Find the LCM of 545, 923, 622, 436, 678 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 545, 923, 622, 436, 678. So, keep reading to learn more.
Given numbers are 545,923,622,436,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,923,622,436,678 is 212137908060.
Find LCM of 545,923,622,436,678 with Prime Factorization
2 | 545, 923, 622, 436, 678 |
109 | 545, 923, 311, 218, 339 |
5, 923, 311, 2, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 5 x 923 x 311 x 2 x 339 = 212137908060
Therefore, the lowest common multiple of 545,923,622,436,678 is 212137908060.
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.
545 x 923 x 622 x 436 x 678 = 92492127914160
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.
545 : 1, 5, 109, 545
923 : 1, 13, 71, 923
622 : 1, 2, 311, 622
436 : 1, 2, 4, 109, 218, 436
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,923,622,436,678, is 1.
Now, the common factors can be found like this.
545:5x 109
923:13x 71
622:2x 311
436:2x 2x 109
678:2x 3x 113
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 109 = 436
Therefore, the value for common factors is 436.
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 = 92492127914160/(1x436)
LCM = 92492127914160/436
LCM = 212137908060
Thus, we can understand that the LCM of 545,923,622,436,678 is 212137908060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 545, 923, 622, 436, 678?
Answer: LCM of 545, 923, 622, 436, 678 is 212137908060.
2. How to calculate the LCM of 545, 923, 622, 436, 678?
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 545, 923, 622, 436, 678.
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}.