LCM of 433, 858, 312, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 858, 312, 288 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 433, 858, 312, 288. So, keep reading to learn more.
Given numbers are 433,858,312,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,858,312,288 is 17832672.
Find LCM of 433,858,312,288 with Prime Factorization
| 2 | 433, 858, 312, 288 |
| 2 | 433, 429, 156, 144 |
| 2 | 433, 429, 78, 72 |
| 3 | 433, 429, 39, 36 |
| 13 | 433, 143, 13, 12 |
| 433, 11, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 433 x 11 x 1 x 12 = 17832672
Therefore, the lowest common multiple of 433,858,312,288 is 17832672.
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.
433 x 858 x 312 x 288 = 33382761984
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.
433 : 1, 433
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,858,312,288, is 1.
Now, the common factors can be found like this.
433:433
858:2x 3x 11x 13
312:2x 2x 2x 3x 13
288:2x 2x 2x 2x 2x 3x 3
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 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 33382761984/(1x1872)
LCM = 33382761984/1872
LCM = 17832672
Thus, we can understand that the LCM of 433,858,312,288 is 17832672.
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FAQs on LCM of 433, 858, 312, 288
1. What is the LCM of 433, 858, 312, 288?
Answer: LCM of 433, 858, 312, 288 is 17832672.
2. How to calculate the LCM of 433, 858, 312, 288?
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 433, 858, 312, 288.
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}.