Find the LCM of 338, 286, 682, 918, 190 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, 286, 682, 918, 190. So, keep reading to learn more.
Given numbers are 338,286,682,918,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,286,682,918,190 is 5025825090.
Find LCM of 338,286,682,918,190 with Prime Factorization
2 | 338, 286, 682, 918, 190 |
11 | 169, 143, 341, 459, 95 |
13 | 169, 13, 31, 459, 95 |
1, 13, 31, 459, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 1 x 13 x 31 x 459 x 95 = 5025825090
Therefore, the lowest common multiple of 338,286,682,918,190 is 5025825090.
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 286 x 682 x 918 x 190 = 11499087805920
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
682 : 1, 2, 11, 22, 31, 62, 341, 682
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
190 : 1, 2, 5, 10, 19, 38, 95, 190
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,286,682,918,190, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
286:2x 11x 13
682:2x 11x 31
918:2x 3x 3x 3x 17
190:2x 5x 19
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 11499087805920/(2x1144)
LCM = 11499087805920/2288
LCM = 5025825090
Thus, we can understand that the LCM of 338,286,682,918,190 is 5025825090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 286, 682, 918, 190?
Answer: LCM of 338, 286, 682, 918, 190 is 5025825090.
2. How to calculate the LCM of 338, 286, 682, 918, 190?
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, 286, 682, 918, 190.
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}.