Find the LCM of 723, 897, 411, 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 723, 897, 411, 678. So, keep reading to learn more.
Given numbers are 723,897,411,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,897,411,678 is 6693272274.
Find LCM of 723,897,411,678 with Prime Factorization
3 | 723, 897, 411, 678 |
241, 299, 137, 226 |
Multiply the prime numbers at the bottom and the left side.
3 x 241 x 299 x 137 x 226 = 6693272274
Therefore, the lowest common multiple of 723,897,411,678 is 6693272274.
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.
723 x 897 x 411 x 678 = 180718351398
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.
723 : 1, 3, 241, 723
897 : 1, 3, 13, 23, 39, 69, 299, 897
411 : 1, 3, 137, 411
678 : 1, 2, 3, 6, 113, 226, 339, 678
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,897,411,678, is 3.
Now, the common factors can be found like this.
723:3x 241
897:3x 13x 23
411:3x 137
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.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 180718351398/(3x9)
LCM = 180718351398/27
LCM = 6693272274
Thus, we can understand that the LCM of 723,897,411,678 is 6693272274.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 897, 411, 678?
Answer: LCM of 723, 897, 411, 678 is 6693272274.
2. How to calculate the LCM of 723, 897, 411, 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 723, 897, 411, 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}.