Find the LCM of 467, 486, 591, 325 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 467, 486, 591, 325. So, keep reading to learn more.
Given numbers are 467,486,591,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,486,591,325 is 14531242050.
Find LCM of 467,486,591,325 with Prime Factorization
3 | 467, 486, 591, 325 |
467, 162, 197, 325 |
Multiply the prime numbers at the bottom and the left side.
3 x 467 x 162 x 197 x 325 = 14531242050
Therefore, the lowest common multiple of 467,486,591,325 is 14531242050.
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.
467 x 486 x 591 x 325 = 43593726150
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.
467 : 1, 467
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
591 : 1, 3, 197, 591
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,486,591,325, is 1.
Now, the common factors can be found like this.
467:467
486:2x 3x 3x 3x 3x 3
591:3x 197
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 43593726150/(1x3)
LCM = 43593726150/3
LCM = 14531242050
Thus, we can understand that the LCM of 467,486,591,325 is 14531242050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 486, 591, 325?
Answer: LCM of 467, 486, 591, 325 is 14531242050.
2. How to calculate the LCM of 467, 486, 591, 325?
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 467, 486, 591, 325.
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}.