Find the LCM of 317, 110, 653, 462 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 317, 110, 653, 462. So, keep reading to learn more.
Given numbers are 317,110,653,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,110,653,462 is 478172310.
Find LCM of 317,110,653,462 with Prime Factorization
2 | 317, 110, 653, 462 |
11 | 317, 55, 653, 231 |
317, 5, 653, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 317 x 5 x 653 x 21 = 478172310
Therefore, the lowest common multiple of 317,110,653,462 is 478172310.
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.
317 x 110 x 653 x 462 = 10519790820
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.
317 : 1, 317
110 : 1, 2, 5, 10, 11, 22, 55, 110
653 : 1, 653
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,110,653,462, is 1.
Now, the common factors can be found like this.
317:317
110:2x 5x 11
653:653
462:2x 3x 7x 11
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 = 10519790820/(1x22)
LCM = 10519790820/22
LCM = 478172310
Thus, we can understand that the LCM of 317,110,653,462 is 478172310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 110, 653, 462?
Answer: LCM of 317, 110, 653, 462 is 478172310.
2. How to calculate the LCM of 317, 110, 653, 462?
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 317, 110, 653, 462.
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}.