Find the LCM of 965, 382, 468, 682, 201 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 965, 382, 468, 682, 201. So, keep reading to learn more.
Given numbers are 965,382,468,682,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,382,468,682,201 is 1970768968740.
Find LCM of 965,382,468,682,201 with Prime Factorization
2 | 965, 382, 468, 682, 201 |
3 | 965, 191, 234, 341, 201 |
965, 191, 78, 341, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 965 x 191 x 78 x 341 x 67 = 1970768968740
Therefore, the lowest common multiple of 965,382,468,682,201 is 1970768968740.
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.
965 x 382 x 468 x 682 x 201 = 23649227624880
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.
965 : 1, 5, 193, 965
382 : 1, 2, 191, 382
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
682 : 1, 2, 11, 22, 31, 62, 341, 682
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,382,468,682,201, is 1.
Now, the common factors can be found like this.
965:5x 193
382:2x 191
468:2x 2x 3x 3x 13
682:2x 11x 31
201:3x 67
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 3 = 12
Therefore, the value for common factors is 12.
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 = 23649227624880/(1x12)
LCM = 23649227624880/12
LCM = 1970768968740
Thus, we can understand that the LCM of 965,382,468,682,201 is 1970768968740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 382, 468, 682, 201?
Answer: LCM of 965, 382, 468, 682, 201 is 1970768968740.
2. How to calculate the LCM of 965, 382, 468, 682, 201?
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 965, 382, 468, 682, 201.
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}.