Find the LCM of 487, 200, 572, 962, 600 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, 200, 572, 962, 600. So, keep reading to learn more.
Given numbers are 487,200,572,962,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,200,572,962,600 is 1546030200.
Find LCM of 487,200,572,962,600 with Prime Factorization
2 | 487, 200, 572, 962, 600 |
2 | 487, 100, 286, 481, 300 |
2 | 487, 50, 143, 481, 150 |
5 | 487, 25, 143, 481, 75 |
5 | 487, 5, 143, 481, 15 |
13 | 487, 1, 143, 481, 3 |
487, 1, 11, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 13 x 487 x 1 x 11 x 37 x 3 = 1546030200
Therefore, the lowest common multiple of 487,200,572,962,600 is 1546030200.
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 200 x 572 x 962 x 600 = 32157428160000
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
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
962 : 1, 2, 13, 26, 37, 74, 481, 962
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,200,572,962,600, is 1.
Now, the common factors can be found like this.
487:487
200:2x 2x 2x 5x 5
572:2x 2x 11x 13
962:2x 13x 37
600:2x 2x 2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 5x 5x 13 = 20800
Therefore, the value for common factors is 20800.
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 = 32157428160000/(1x20800)
LCM = 32157428160000/20800
LCM = 1546030200
Thus, we can understand that the LCM of 487,200,572,962,600 is 1546030200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 200, 572, 962, 600?
Answer: LCM of 487, 200, 572, 962, 600 is 1546030200.
2. How to calculate the LCM of 487, 200, 572, 962, 600?
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, 200, 572, 962, 600.
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}.