Find the LCM of 963, 713, 684, 325 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 963, 713, 684, 325. So, keep reading to learn more.
Given numbers are 963,713,684,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,713,684,325 is 16959489300.
Find LCM of 963,713,684,325 with Prime Factorization
3 | 963, 713, 684, 325 |
3 | 321, 713, 228, 325 |
107, 713, 76, 325 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 107 x 713 x 76 x 325 = 16959489300
Therefore, the lowest common multiple of 963,713,684,325 is 16959489300.
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.
963 x 713 x 684 x 325 = 152635403700
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.
963 : 1, 3, 9, 107, 321, 963
713 : 1, 23, 31, 713
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,713,684,325, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
713:23x 31
684:2x 2x 3x 3x 19
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 152635403700/(1x9)
LCM = 152635403700/9
LCM = 16959489300
Thus, we can understand that the LCM of 963,713,684,325 is 16959489300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 713, 684, 325?
Answer: LCM of 963, 713, 684, 325 is 16959489300.
2. How to calculate the LCM of 963, 713, 684, 325?
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 963, 713, 684, 325.
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}.