LCM of 963, 214, 678, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 214, 678, 428 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, 214, 678, 428. So, keep reading to learn more.
Given numbers are 963,214,678,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,214,678,428 is 435276.
Find LCM of 963,214,678,428 with Prime Factorization
| 2 | 963, 214, 678, 428 |
| 3 | 963, 107, 339, 214 |
| 107 | 321, 107, 113, 214 |
| 3, 1, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 3 x 1 x 113 x 2 = 435276
Therefore, the lowest common multiple of 963,214,678,428 is 435276.
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 214 x 678 x 428 = 59801699088
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
214 : 1, 2, 107, 214
678 : 1, 2, 3, 6, 113, 226, 339, 678
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,214,678,428, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
214:2x 107
678:2x 3x 113
428:2x 2x 107
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 3x 107x 107 = 137388
Therefore, the value for common factors is 137388.
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 = 59801699088/(1x137388)
LCM = 59801699088/137388
LCM = 435276
Thus, we can understand that the LCM of 963,214,678,428 is 435276.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 963, 214, 678, 428
1. What is the LCM of 963, 214, 678, 428?
Answer: LCM of 963, 214, 678, 428 is 435276.
2. How to calculate the LCM of 963, 214, 678, 428?
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, 214, 678, 428.
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}.