LCM of 252, 963, 420, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 963, 420, 471 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 252, 963, 420, 471. So, keep reading to learn more.
Given numbers are 252,963,420,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,963,420,471 is 21166740.
Find LCM of 252,963,420,471 with Prime Factorization
| 2 | 252, 963, 420, 471 |
| 2 | 126, 963, 210, 471 |
| 3 | 63, 963, 105, 471 |
| 3 | 21, 321, 35, 157 |
| 7 | 7, 107, 35, 157 |
| 1, 107, 5, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 1 x 107 x 5 x 157 = 21166740
Therefore, the lowest common multiple of 252,963,420,471 is 21166740.
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.
252 x 963 x 420 x 471 = 48006166320
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
963 : 1, 3, 9, 107, 321, 963
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
471 : 1, 3, 157, 471
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,963,420,471, is 3.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
963:3x 3x 107
420:2x 2x 3x 5x 7
471:3x 157
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 48006166320/(3x756)
LCM = 48006166320/2268
LCM = 21166740
Thus, we can understand that the LCM of 252,963,420,471 is 21166740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 252, 963, 420, 471
1. What is the LCM of 252, 963, 420, 471?
Answer: LCM of 252, 963, 420, 471 is 21166740.
2. How to calculate the LCM of 252, 963, 420, 471?
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 252, 963, 420, 471.
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}.