LCM of 838, 768, 189, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 768, 189, 363 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 838, 768, 189, 363. So, keep reading to learn more.
Given numbers are 838,768,189,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,768,189,363 is 2453020416.
Find LCM of 838,768,189,363 with Prime Factorization
| 2 | 838, 768, 189, 363 |
| 3 | 419, 384, 189, 363 |
| 419, 128, 63, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 419 x 128 x 63 x 121 = 2453020416
Therefore, the lowest common multiple of 838,768,189,363 is 2453020416.
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.
838 x 768 x 189 x 363 = 44154367488
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.
838 : 1, 2, 419, 838
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
189 : 1, 3, 7, 9, 21, 27, 63, 189
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,768,189,363, is 1.
Now, the common factors can be found like this.
838:2x 419
768:2x 2x 2x 2x 2x 2x 2x 2x 3
189:3x 3x 3x 7
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 44154367488/(1x18)
LCM = 44154367488/18
LCM = 2453020416
Thus, we can understand that the LCM of 838,768,189,363 is 2453020416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 768, 189, 363
1. What is the LCM of 838, 768, 189, 363?
Answer: LCM of 838, 768, 189, 363 is 2453020416.
2. How to calculate the LCM of 838, 768, 189, 363?
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 838, 768, 189, 363.
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}.