Find the LCM of 487, 201, 603, 715, 676 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 487, 201, 603, 715, 676. So, keep reading to learn more.
Given numbers are 487,201,603,715,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,201,603,715,676 is 10918315980.
Find LCM of 487,201,603,715,676 with Prime Factorization
3 | 487, 201, 603, 715, 676 |
13 | 487, 67, 201, 715, 676 |
67 | 487, 67, 201, 55, 52 |
487, 1, 3, 55, 52 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 67 x 487 x 1 x 3 x 55 x 52 = 10918315980
Therefore, the lowest common multiple of 487,201,603,715,676 is 10918315980.
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.
487 x 201 x 603 x 715 x 676 = 28529559655740
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.
487 : 1, 487
201 : 1, 3, 67, 201
603 : 1, 3, 9, 67, 201, 603
715 : 1, 5, 11, 13, 55, 65, 143, 715
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,201,603,715,676, is 1.
Now, the common factors can be found like this.
487:487
201:3x 67
603:3x 3x 67
715:5x 11x 13
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 67 = 2613
Therefore, the value for common factors is 2613.
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 = 28529559655740/(1x2613)
LCM = 28529559655740/2613
LCM = 10918315980
Thus, we can understand that the LCM of 487,201,603,715,676 is 10918315980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 201, 603, 715, 676?
Answer: LCM of 487, 201, 603, 715, 676 is 10918315980.
2. How to calculate the LCM of 487, 201, 603, 715, 676?
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 487, 201, 603, 715, 676.
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}.