LCM of 432, 856, 845, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 856, 845, 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 432, 856, 845, 414. So, keep reading to learn more.
Given numbers are 432,856,845,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,856,845,414 is 898363440.
Find LCM of 432,856,845,414 with Prime Factorization
| 2 | 432, 856, 845, 414 |
| 2 | 216, 428, 845, 207 |
| 2 | 108, 214, 845, 207 |
| 3 | 54, 107, 845, 207 |
| 3 | 18, 107, 845, 69 |
| 6, 107, 845, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 6 x 107 x 845 x 23 = 898363440
Therefore, the lowest common multiple of 432,856,845,414 is 898363440.
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 856 x 845 x 414 = 129364335360
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
845 : 1, 5, 13, 65, 169, 845
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 432,856,845,414, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
856:2x 2x 2x 107
845:5x 13x 13
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.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 129364335360/(1x144)
LCM = 129364335360/144
LCM = 898363440
Thus, we can understand that the LCM of 432,856,845,414 is 898363440.
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FAQs on LCM of 432, 856, 845, 414
1. What is the LCM of 432, 856, 845, 414?
Answer: LCM of 432, 856, 845, 414 is 898363440.
2. How to calculate the LCM of 432, 856, 845, 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 432, 856, 845, 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}.