Find the LCM of 647, 482, 786, 310, 530 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 647, 482, 786, 310, 530. So, keep reading to learn more.
Given numbers are 647,482,786,310,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,482,786,310,530 is 1006819079730.
Find LCM of 647,482,786,310,530 with Prime Factorization
2 | 647, 482, 786, 310, 530 |
5 | 647, 241, 393, 155, 265 |
647, 241, 393, 31, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 647 x 241 x 393 x 31 x 53 = 1006819079730
Therefore, the lowest common multiple of 647,482,786,310,530 is 1006819079730.
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.
647 x 482 x 786 x 310 x 530 = 40272763189200
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.
647 : 1, 647
482 : 1, 2, 241, 482
786 : 1, 2, 3, 6, 131, 262, 393, 786
310 : 1, 2, 5, 10, 31, 62, 155, 310
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,482,786,310,530, is 1.
Now, the common factors can be found like this.
647:647
482:2x 241
786:2x 3x 131
310:2x 5x 31
530:2x 5x 53
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 5 = 40
Therefore, the value for common factors is 40.
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 = 40272763189200/(1x40)
LCM = 40272763189200/40
LCM = 1006819079730
Thus, we can understand that the LCM of 647,482,786,310,530 is 1006819079730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 482, 786, 310, 530?
Answer: LCM of 647, 482, 786, 310, 530 is 1006819079730.
2. How to calculate the LCM of 647, 482, 786, 310, 530?
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 647, 482, 786, 310, 530.
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}.