Find the LCM of 963, 956, 189, 578 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, 956, 189, 578. So, keep reading to learn more.
Given numbers are 963,956,189,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,956,189,578 is 5587291332.
Find LCM of 963,956,189,578 with Prime Factorization
2 | 963, 956, 189, 578 |
3 | 963, 478, 189, 289 |
3 | 321, 478, 63, 289 |
107, 478, 21, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 478 x 21 x 289 = 5587291332
Therefore, the lowest common multiple of 963,956,189,578 is 5587291332.
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 956 x 189 x 578 = 100571243976
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
956 : 1, 2, 4, 239, 478, 956
189 : 1, 3, 7, 9, 21, 27, 63, 189
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,956,189,578, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
956:2x 2x 239
189:3x 3x 3x 7
578:2x 17x 17
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 3 = 18
Therefore, the value for common factors is 18.
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 = 100571243976/(1x18)
LCM = 100571243976/18
LCM = 5587291332
Thus, we can understand that the LCM of 963,956,189,578 is 5587291332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 956, 189, 578?
Answer: LCM of 963, 956, 189, 578 is 5587291332.
2. How to calculate the LCM of 963, 956, 189, 578?
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, 956, 189, 578.
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}.