LCM of 1938, 9386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1938, 9386 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 1938, 9386. So, keep reading to learn more.
Given numbers are 1938,9386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1938,9386 is 478686.
Find LCM of 1938,9386 with Prime Factorization
| 2 | 1938, 9386 |
| 19 | 969, 4693 |
| 51, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 51 x 247 = 478686
Therefore, the lowest common multiple of 1938,9386 is 478686.
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.
1938 x 9386 = 18190068
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.
1938 : 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
9386 : 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386
38 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1938,9386, is 38.
Now, the common factors can be found like this.
1938:2x 3x 17x 19
9386:2x 13x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 18190068/(38x1)
LCM = 18190068/38
LCM = 478686
Thus, we can understand that the LCM of 1938,9386 is 478686.
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FAQs on LCM of 1938, 9386
1. What is the LCM of 1938, 9386?
Answer: LCM of 1938, 9386 is 478686.
2. How to calculate the LCM of 1938, 9386?
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 1938, 9386.
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}.