Find the LCM of 471, 646, 510, 447, 144 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 471, 646, 510, 447, 144. So, keep reading to learn more.
Given numbers are 471,646,510,447,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,646,510,447,144 is 5440276080.
Find LCM of 471,646,510,447,144 with Prime Factorization
2 | 471, 646, 510, 447, 144 |
3 | 471, 323, 255, 447, 72 |
17 | 157, 323, 85, 149, 24 |
157, 19, 5, 149, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 157 x 19 x 5 x 149 x 24 = 5440276080
Therefore, the lowest common multiple of 471,646,510,447,144 is 5440276080.
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.
471 x 646 x 510 x 447 x 144 = 9988346882880
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.
471 : 1, 3, 157, 471
646 : 1, 2, 17, 19, 34, 38, 323, 646
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
447 : 1, 3, 149, 447
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,646,510,447,144, is 1.
Now, the common factors can be found like this.
471:3x 157
646:2x 17x 19
510:2x 3x 5x 17
447:3x 149
144:2x 2x 2x 2x 3x 3
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 17 = 1836
Therefore, the value for common factors is 1836.
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 = 9988346882880/(1x1836)
LCM = 9988346882880/1836
LCM = 5440276080
Thus, we can understand that the LCM of 471,646,510,447,144 is 5440276080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 646, 510, 447, 144?
Answer: LCM of 471, 646, 510, 447, 144 is 5440276080.
2. How to calculate the LCM of 471, 646, 510, 447, 144?
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 471, 646, 510, 447, 144.
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}.