Find the LCM of 232, 385, 407, 175, 286 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 232, 385, 407, 175, 286. So, keep reading to learn more.
Given numbers are 232,385,407,175,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,385,407,175,286 is 214814600.
Find LCM of 232,385,407,175,286 with Prime Factorization
2 | 232, 385, 407, 175, 286 |
5 | 116, 385, 407, 175, 143 |
7 | 116, 77, 407, 35, 143 |
11 | 116, 11, 407, 5, 143 |
116, 1, 37, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 116 x 1 x 37 x 5 x 13 = 214814600
Therefore, the lowest common multiple of 232,385,407,175,286 is 214814600.
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.
232 x 385 x 407 x 175 x 286 = 1819479662000
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
385 : 1, 5, 7, 11, 35, 55, 77, 385
407 : 1, 11, 37, 407
175 : 1, 5, 7, 25, 35, 175
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,385,407,175,286, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
385:5x 7x 11
407:11x 37
175:5x 5x 7
286:2x 11x 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 5x 7x 11x 11 = 8470
Therefore, the value for common factors is 8470.
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 = 1819479662000/(1x8470)
LCM = 1819479662000/8470
LCM = 214814600
Thus, we can understand that the LCM of 232,385,407,175,286 is 214814600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 385, 407, 175, 286?
Answer: LCM of 232, 385, 407, 175, 286 is 214814600.
2. How to calculate the LCM of 232, 385, 407, 175, 286?
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 232, 385, 407, 175, 286.
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}.