Find the LCM of 459, 954, 963, 684 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 459, 954, 963, 684. So, keep reading to learn more.
Given numbers are 459,954,963,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,954,963,684 is 197827164.
Find LCM of 459,954,963,684 with Prime Factorization
2 | 459, 954, 963, 684 |
3 | 459, 477, 963, 342 |
3 | 153, 159, 321, 114 |
51, 53, 107, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 51 x 53 x 107 x 38 = 197827164
Therefore, the lowest common multiple of 459,954,963,684 is 197827164.
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.
459 x 954 x 963 x 684 = 288432005112
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
963 : 1, 3, 9, 107, 321, 963
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,954,963,684, is 9.
Now, the common factors can be found like this.
459:3x 3x 3x 17
954:2x 3x 3x 53
963:3x 3x 107
684:2x 2x 3x 3x 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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 288432005112/(9x162)
LCM = 288432005112/1458
LCM = 197827164
Thus, we can understand that the LCM of 459,954,963,684 is 197827164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 954, 963, 684?
Answer: LCM of 459, 954, 963, 684 is 197827164.
2. How to calculate the LCM of 459, 954, 963, 684?
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 459, 954, 963, 684.
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}.