Find the LCM of 235, 968, 295, 849, 285 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 235, 968, 295, 849, 285. So, keep reading to learn more.
Given numbers are 235,968,295,849,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,968,295,849,285 is 216499312920.
Find LCM of 235,968,295,849,285 with Prime Factorization
3 | 235, 968, 295, 849, 285 |
5 | 235, 968, 295, 283, 95 |
47, 968, 59, 283, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 968 x 59 x 283 x 19 = 216499312920
Therefore, the lowest common multiple of 235,968,295,849,285 is 216499312920.
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.
235 x 968 x 295 x 849 x 285 = 16237448469000
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.
235 : 1, 5, 47, 235
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
295 : 1, 5, 59, 295
849 : 1, 3, 283, 849
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,968,295,849,285, is 1.
Now, the common factors can be found like this.
235:5x 47
968:2x 2x 2x 11x 11
295:5x 59
849:3x 283
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5 = 75
Therefore, the value for common factors is 75.
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 = 16237448469000/(1x75)
LCM = 16237448469000/75
LCM = 216499312920
Thus, we can understand that the LCM of 235,968,295,849,285 is 216499312920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 235, 968, 295, 849, 285?
Answer: LCM of 235, 968, 295, 849, 285 is 216499312920.
2. How to calculate the LCM of 235, 968, 295, 849, 285?
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 235, 968, 295, 849, 285.
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}.