Find the LCM of 964, 645, 614, 543, 933 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 964, 645, 614, 543, 933. So, keep reading to learn more.
Given numbers are 964,645,614,543,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,645,614,543,933 is 10745189719860.
Find LCM of 964,645,614,543,933 with Prime Factorization
2 | 964, 645, 614, 543, 933 |
3 | 482, 645, 307, 543, 933 |
482, 215, 307, 181, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 482 x 215 x 307 x 181 x 311 = 10745189719860
Therefore, the lowest common multiple of 964,645,614,543,933 is 10745189719860.
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.
964 x 645 x 614 x 543 x 933 = 193413414957480
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.
964 : 1, 2, 4, 241, 482, 964
645 : 1, 3, 5, 15, 43, 129, 215, 645
614 : 1, 2, 307, 614
543 : 1, 3, 181, 543
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,645,614,543,933, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
645:3x 5x 43
614:2x 307
543:3x 181
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 193413414957480/(1x18)
LCM = 193413414957480/18
LCM = 10745189719860
Thus, we can understand that the LCM of 964,645,614,543,933 is 10745189719860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 645, 614, 543, 933?
Answer: LCM of 964, 645, 614, 543, 933 is 10745189719860.
2. How to calculate the LCM of 964, 645, 614, 543, 933?
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 964, 645, 614, 543, 933.
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}.