Find the LCM of 338, 986, 204, 283 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 338, 986, 204, 283. So, keep reading to learn more.
Given numbers are 338,986,204,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,986,204,283 is 282944532.
Find LCM of 338,986,204,283 with Prime Factorization
2 | 338, 986, 204, 283 |
17 | 169, 493, 102, 283 |
169, 29, 6, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 169 x 29 x 6 x 283 = 282944532
Therefore, the lowest common multiple of 338,986,204,283 is 282944532.
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.
338 x 986 x 204 x 283 = 19240228176
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.
338 : 1, 2, 13, 26, 169, 338
986 : 1, 2, 17, 29, 34, 58, 493, 986
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,986,204,283, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
986:2x 17x 29
204:2x 2x 3x 17
283:283
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 17 = 68
Therefore, the value for common factors is 68.
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 = 19240228176/(1x68)
LCM = 19240228176/68
LCM = 282944532
Thus, we can understand that the LCM of 338,986,204,283 is 282944532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 986, 204, 283?
Answer: LCM of 338, 986, 204, 283 is 282944532.
2. How to calculate the LCM of 338, 986, 204, 283?
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 338, 986, 204, 283.
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}.