Find the LCM of 247, 442, 793, 366 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 247, 442, 793, 366. So, keep reading to learn more.
Given numbers are 247,442,793,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,442,793,366 is 1536834.
Find LCM of 247,442,793,366 with Prime Factorization
2 | 247, 442, 793, 366 |
13 | 247, 221, 793, 183 |
61 | 19, 17, 61, 183 |
19, 17, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 61 x 19 x 17 x 1 x 3 = 1536834
Therefore, the lowest common multiple of 247,442,793,366 is 1536834.
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.
247 x 442 x 793 x 366 = 31686443412
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.
247 : 1, 13, 19, 247
442 : 1, 2, 13, 17, 26, 34, 221, 442
793 : 1, 13, 61, 793
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,442,793,366, is 1.
Now, the common factors can be found like this.
247:13x 19
442:2x 13x 17
793:13x 61
366:2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 61 = 20618
Therefore, the value for common factors is 20618.
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 = 31686443412/(1x20618)
LCM = 31686443412/20618
LCM = 1536834
Thus, we can understand that the LCM of 247,442,793,366 is 1536834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 442, 793, 366?
Answer: LCM of 247, 442, 793, 366 is 1536834.
2. How to calculate the LCM of 247, 442, 793, 366?
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 247, 442, 793, 366.
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}.