Find the LCM of 471, 121, 418, 416 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, 121, 418, 416. So, keep reading to learn more.
Given numbers are 471,121,418,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,121,418,416 is 450456864.
Find LCM of 471,121,418,416 with Prime Factorization
2 | 471, 121, 418, 416 |
11 | 471, 121, 209, 208 |
471, 11, 19, 208 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 471 x 11 x 19 x 208 = 450456864
Therefore, the lowest common multiple of 471,121,418,416 is 450456864.
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 121 x 418 x 416 = 9910051008
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
121 : 1, 11, 121
418 : 1, 2, 11, 19, 22, 38, 209, 418
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,121,418,416, is 1.
Now, the common factors can be found like this.
471:3x 157
121:11x 11
418:2x 11x 19
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 9910051008/(1x22)
LCM = 9910051008/22
LCM = 450456864
Thus, we can understand that the LCM of 471,121,418,416 is 450456864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 121, 418, 416?
Answer: LCM of 471, 121, 418, 416 is 450456864.
2. How to calculate the LCM of 471, 121, 418, 416?
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, 121, 418, 416.
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}.