LCM of 328, 945, 270, 463, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 945, 270, 463, 415 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 328, 945, 270, 463, 415. So, keep reading to learn more.
Given numbers are 328,945,270,463,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,945,270,463,415 is 11911452840.
Find LCM of 328,945,270,463,415 with Prime Factorization
| 2 | 328, 945, 270, 463, 415 |
| 3 | 164, 945, 135, 463, 415 |
| 3 | 164, 315, 45, 463, 415 |
| 3 | 164, 105, 15, 463, 415 |
| 5 | 164, 35, 5, 463, 415 |
| 164, 7, 1, 463, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 164 x 7 x 1 x 463 x 83 = 11911452840
Therefore, the lowest common multiple of 328,945,270,463,415 is 11911452840.
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.
328 x 945 x 270 x 463 x 415 = 16080461334000
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
463 : 1, 463
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,945,270,463,415, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
945:3x 3x 3x 5x 7
270:2x 3x 3x 3x 5
463:463
415:5x 83
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 3x 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 16080461334000/(1x1350)
LCM = 16080461334000/1350
LCM = 11911452840
Thus, we can understand that the LCM of 328,945,270,463,415 is 11911452840.
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FAQs on LCM of 328, 945, 270, 463, 415
1. What is the LCM of 328, 945, 270, 463, 415?
Answer: LCM of 328, 945, 270, 463, 415 is 11911452840.
2. How to calculate the LCM of 328, 945, 270, 463, 415?
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 328, 945, 270, 463, 415.
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}.