Find the LCM of 133, 816, 964, 144 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 133, 816, 964, 144. So, keep reading to learn more.
Given numbers are 133,816,964,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,816,964,144 is 78465744.
Find LCM of 133,816,964,144 with Prime Factorization
2 | 133, 816, 964, 144 |
2 | 133, 408, 482, 72 |
2 | 133, 204, 241, 36 |
2 | 133, 102, 241, 18 |
3 | 133, 51, 241, 9 |
133, 17, 241, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 133 x 17 x 241 x 3 = 78465744
Therefore, the lowest common multiple of 133,816,964,144 is 78465744.
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.
133 x 816 x 964 x 144 = 15065422848
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.
133 : 1, 7, 19, 133
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
964 : 1, 2, 4, 241, 482, 964
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,816,964,144, is 1.
Now, the common factors can be found like this.
133:7x 19
816:2x 2x 2x 2x 3x 17
964:2x 2x 241
144:2x 2x 2x 2x 3x 3
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 15065422848/(1x192)
LCM = 15065422848/192
LCM = 78465744
Thus, we can understand that the LCM of 133,816,964,144 is 78465744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 816, 964, 144?
Answer: LCM of 133, 816, 964, 144 is 78465744.
2. How to calculate the LCM of 133, 816, 964, 144?
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 133, 816, 964, 144.
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}.