LCM of 678, 234, 346, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 234, 346, 923 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, 234, 346, 923. So, keep reading to learn more.
Given numbers are 678,234,346,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,234,346,923 is 324787086.
Find LCM of 678,234,346,923 with Prime Factorization
| 2 | 678, 234, 346, 923 |
| 3 | 339, 117, 173, 923 |
| 13 | 113, 39, 173, 923 |
| 113, 3, 173, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 113 x 3 x 173 x 71 = 324787086
Therefore, the lowest common multiple of 678,234,346,923 is 324787086.
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 234 x 346 x 923 = 50666785416
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
346 : 1, 2, 173, 346
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,234,346,923, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
234:2x 3x 3x 13
346:2x 173
923:13x 71
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 50666785416/(1x156)
LCM = 50666785416/156
LCM = 324787086
Thus, we can understand that the LCM of 678,234,346,923 is 324787086.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 678, 234, 346, 923
1. What is the LCM of 678, 234, 346, 923?
Answer: LCM of 678, 234, 346, 923 is 324787086.
2. How to calculate the LCM of 678, 234, 346, 923?
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, 234, 346, 923.
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}.