LCM of 412, 415, 396, 300, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 415, 396, 300, 194 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 412, 415, 396, 300, 194. So, keep reading to learn more.
Given numbers are 412,415,396,300,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,415,396,300,194 is 8209604700.
Find LCM of 412,415,396,300,194 with Prime Factorization
| 2 | 412, 415, 396, 300, 194 |
| 2 | 206, 415, 198, 150, 97 |
| 3 | 103, 415, 99, 75, 97 |
| 5 | 103, 415, 33, 25, 97 |
| 103, 83, 33, 5, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 83 x 33 x 5 x 97 = 8209604700
Therefore, the lowest common multiple of 412,415,396,300,194 is 8209604700.
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.
412 x 415 x 396 x 300 x 194 = 3940610256000
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.
412 : 1, 2, 4, 103, 206, 412
415 : 1, 5, 83, 415
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,415,396,300,194, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
415:5x 83
396:2x 2x 3x 3x 11
300:2x 2x 3x 5x 5
194:2x 97
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 3940610256000/(1x480)
LCM = 3940610256000/480
LCM = 8209604700
Thus, we can understand that the LCM of 412,415,396,300,194 is 8209604700.
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FAQs on LCM of 412, 415, 396, 300, 194
1. What is the LCM of 412, 415, 396, 300, 194?
Answer: LCM of 412, 415, 396, 300, 194 is 8209604700.
2. How to calculate the LCM of 412, 415, 396, 300, 194?
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 412, 415, 396, 300, 194.
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}.