Find the LCM of 923, 964, 408, 608 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 923, 964, 408, 608. So, keep reading to learn more.
Given numbers are 923,964,408,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,964,408,608 is 6897512544.
Find LCM of 923,964,408,608 with Prime Factorization
2 | 923, 964, 408, 608 |
2 | 923, 482, 204, 304 |
2 | 923, 241, 102, 152 |
923, 241, 51, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 923 x 241 x 51 x 76 = 6897512544
Therefore, the lowest common multiple of 923,964,408,608 is 6897512544.
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.
923 x 964 x 408 x 608 = 220720401408
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.
923 : 1, 13, 71, 923
964 : 1, 2, 4, 241, 482, 964
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,964,408,608, is 1.
Now, the common factors can be found like this.
923:13x 71
964:2x 2x 241
408:2x 2x 2x 3x 17
608:2x 2x 2x 2x 2x 19
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 220720401408/(1x32)
LCM = 220720401408/32
LCM = 6897512544
Thus, we can understand that the LCM of 923,964,408,608 is 6897512544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 964, 408, 608?
Answer: LCM of 923, 964, 408, 608 is 6897512544.
2. How to calculate the LCM of 923, 964, 408, 608?
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 923, 964, 408, 608.
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}.