LCM of 432, 828, 414, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 828, 414, 786 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 432, 828, 414, 786. So, keep reading to learn more.
Given numbers are 432,828,414,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,828,414,786 is 1301616.
Find LCM of 432,828,414,786 with Prime Factorization
| 2 | 432, 828, 414, 786 |
| 2 | 216, 414, 207, 393 |
| 3 | 108, 207, 207, 393 |
| 3 | 36, 69, 69, 131 |
| 23 | 12, 23, 23, 131 |
| 12, 1, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 12 x 1 x 1 x 131 = 1301616
Therefore, the lowest common multiple of 432,828,414,786 is 1301616.
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.
432 x 828 x 414 x 786 = 116395709184
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
786 : 1, 2, 3, 6, 131, 262, 393, 786
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,828,414,786, is 6.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
828:2x 2x 3x 3x 23
414:2x 3x 3x 23
786:2x 3x 131
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 3x 3x 23 = 14904
Therefore, the value for common factors is 14904.
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 = 116395709184/(6x14904)
LCM = 116395709184/89424
LCM = 1301616
Thus, we can understand that the LCM of 432,828,414,786 is 1301616.
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FAQs on LCM of 432, 828, 414, 786
1. What is the LCM of 432, 828, 414, 786?
Answer: LCM of 432, 828, 414, 786 is 1301616.
2. How to calculate the LCM of 432, 828, 414, 786?
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 432, 828, 414, 786.
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}.