LCM of 323, 378, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 378, 315 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 323, 378, 315. So, keep reading to learn more.
Given numbers are 323,378,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,378,315 is 610470.
Find LCM of 323,378,315 with Prime Factorization
| 3 | 323, 378, 315 |
| 3 | 323, 126, 105 |
| 7 | 323, 42, 35 |
| 323, 6, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 323 x 6 x 5 = 610470
Therefore, the lowest common multiple of 323,378,315 is 610470.
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.
323 x 378 x 315 = 38459610
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.
323 : 1, 17, 19, 323
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,378,315, is 1.
Now, the common factors can be found like this.
323:17x 19
378:2x 3x 3x 3x 7
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 38459610/(1x63)
LCM = 38459610/63
LCM = 610470
Thus, we can understand that the LCM of 323,378,315 is 610470.
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FAQs on LCM of 323, 378, 315
1. What is the LCM of 323, 378, 315?
Answer: LCM of 323, 378, 315 is 610470.
2. How to calculate the LCM of 323, 378, 315?
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 323, 378, 315.
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}.