LCM of 396, 432, 360, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 432, 360, 517 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 396, 432, 360, 517. So, keep reading to learn more.
Given numbers are 396,432,360,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,432,360,517 is 1116720.
Find LCM of 396,432,360,517 with Prime Factorization
| 2 | 396, 432, 360, 517 |
| 2 | 198, 216, 180, 517 |
| 2 | 99, 108, 90, 517 |
| 3 | 99, 54, 45, 517 |
| 3 | 33, 18, 15, 517 |
| 11 | 11, 6, 5, 517 |
| 1, 6, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 1 x 6 x 5 x 47 = 1116720
Therefore, the lowest common multiple of 396,432,360,517 is 1116720.
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.
396 x 432 x 360 x 517 = 31839920640
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,432,360,517, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
432:2x 2x 2x 2x 3x 3x 3
360:2x 2x 2x 3x 3x 5
517:11x 47
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 3x 3x 3x 11 = 28512
Therefore, the value for common factors is 28512.
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 = 31839920640/(1x28512)
LCM = 31839920640/28512
LCM = 1116720
Thus, we can understand that the LCM of 396,432,360,517 is 1116720.
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FAQs on LCM of 396, 432, 360, 517
1. What is the LCM of 396, 432, 360, 517?
Answer: LCM of 396, 432, 360, 517 is 1116720.
2. How to calculate the LCM of 396, 432, 360, 517?
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 396, 432, 360, 517.
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}.