Find the LCM of 728, 948, 585, 866, 213 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 728, 948, 585, 866, 213. So, keep reading to learn more.
Given numbers are 728,948,585,866,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,948,585,866,213 is 79564113720.
Find LCM of 728,948,585,866,213 with Prime Factorization
2 | 728, 948, 585, 866, 213 |
2 | 364, 474, 585, 433, 213 |
3 | 182, 237, 585, 433, 213 |
13 | 182, 79, 195, 433, 71 |
14, 79, 15, 433, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 14 x 79 x 15 x 433 x 71 = 79564113720
Therefore, the lowest common multiple of 728,948,585,866,213 is 79564113720.
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.
728 x 948 x 585 x 866 x 213 = 74472010441920
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
866 : 1, 2, 433, 866
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,948,585,866,213, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
948:2x 2x 3x 79
585:3x 3x 5x 13
866:2x 433
213:3x 71
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 74472010441920/(1x936)
LCM = 74472010441920/936
LCM = 79564113720
Thus, we can understand that the LCM of 728,948,585,866,213 is 79564113720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 948, 585, 866, 213?
Answer: LCM of 728, 948, 585, 866, 213 is 79564113720.
2. How to calculate the LCM of 728, 948, 585, 866, 213?
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 728, 948, 585, 866, 213.
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}.