LCM of 728, 468, 633, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 468, 633, 390 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 728, 468, 633, 390. So, keep reading to learn more.
Given numbers are 728,468,633,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,468,633,390 is 6912360.
Find LCM of 728,468,633,390 with Prime Factorization
| 2 | 728, 468, 633, 390 |
| 2 | 364, 234, 633, 195 |
| 3 | 182, 117, 633, 195 |
| 13 | 182, 39, 211, 65 |
| 14, 3, 211, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 14 x 3 x 211 x 5 = 6912360
Therefore, the lowest common multiple of 728,468,633,390 is 6912360.
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.
728 x 468 x 633 x 390 = 84109596480
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
633 : 1, 3, 211, 633
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,468,633,390, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
468:2x 2x 3x 3x 13
633:3x 211
390:2x 3x 5x 13
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 3x 3x 13x 13 = 12168
Therefore, the value for common factors is 12168.
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 = 84109596480/(1x12168)
LCM = 84109596480/12168
LCM = 6912360
Thus, we can understand that the LCM of 728,468,633,390 is 6912360.
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FAQs on LCM of 728, 468, 633, 390
1. What is the LCM of 728, 468, 633, 390?
Answer: LCM of 728, 468, 633, 390 is 6912360.
2. How to calculate the LCM of 728, 468, 633, 390?
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 728, 468, 633, 390.
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}.