LCM of 417, 315, 323, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 315, 323, 414 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 417, 315, 323, 414. So, keep reading to learn more.
Given numbers are 417,315,323,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,315,323,414 is 650557530.
Find LCM of 417,315,323,414 with Prime Factorization
| 3 | 417, 315, 323, 414 |
| 3 | 139, 105, 323, 138 |
| 139, 35, 323, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 139 x 35 x 323 x 46 = 650557530
Therefore, the lowest common multiple of 417,315,323,414 is 650557530.
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.
417 x 315 x 323 x 414 = 17565053310
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.
417 : 1, 3, 139, 417
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
323 : 1, 17, 19, 323
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,315,323,414, is 1.
Now, the common factors can be found like this.
417:3x 139
315:3x 3x 5x 7
323:17x 19
414:2x 3x 3x 23
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 3 = 27
Therefore, the value for common factors is 27.
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 = 17565053310/(1x27)
LCM = 17565053310/27
LCM = 650557530
Thus, we can understand that the LCM of 417,315,323,414 is 650557530.
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FAQs on LCM of 417, 315, 323, 414
1. What is the LCM of 417, 315, 323, 414?
Answer: LCM of 417, 315, 323, 414 is 650557530.
2. How to calculate the LCM of 417, 315, 323, 414?
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 417, 315, 323, 414.
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}.