Find the LCM of 471, 782, 614 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, 782, 614. So, keep reading to learn more.
Given numbers are 471,782,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,782,614 is 113074854.
Find LCM of 471,782,614 with Prime Factorization
2 | 471, 782, 614 |
471, 391, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 471 x 391 x 307 = 113074854
Therefore, the lowest common multiple of 471,782,614 is 113074854.
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 782 x 614 = 226149708
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,782,614, is 1.
Now, the common factors can be found like this.
471:3x 157
782:2x 17x 23
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 226149708/(1x2)
LCM = 226149708/2
LCM = 113074854
Thus, we can understand that the LCM of 471,782,614 is 113074854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 782, 614?
Answer: LCM of 471, 782, 614 is 113074854.
2. How to calculate the LCM of 471, 782, 614?
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, 782, 614.
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}.