Find the LCM of 432, 194, 935, 884, 285 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, 194, 935, 884, 285. So, keep reading to learn more.
Given numbers are 432,194,935,884,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,194,935,884,285 is 9677519280.
Find LCM of 432,194,935,884,285 with Prime Factorization
2 | 432, 194, 935, 884, 285 |
2 | 216, 97, 935, 442, 285 |
3 | 108, 97, 935, 221, 285 |
5 | 36, 97, 935, 221, 95 |
17 | 36, 97, 187, 221, 19 |
36, 97, 11, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 36 x 97 x 11 x 13 x 19 = 9677519280
Therefore, the lowest common multiple of 432,194,935,884,285 is 9677519280.
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 194 x 935 x 884 x 285 = 19742139331200
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
194 : 1, 2, 97, 194
935 : 1, 5, 11, 17, 55, 85, 187, 935
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,194,935,884,285, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
194:2x 97
935:5x 11x 17
884:2x 2x 13x 17
285:3x 5x 19
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 19742139331200/(1x2040)
LCM = 19742139331200/2040
LCM = 9677519280
Thus, we can understand that the LCM of 432,194,935,884,285 is 9677519280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 432, 194, 935, 884, 285?
Answer: LCM of 432, 194, 935, 884, 285 is 9677519280.
2. How to calculate the LCM of 432, 194, 935, 884, 285?
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, 194, 935, 884, 285.
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}.