Find the LCM of 433, 238, 883, 385, 850 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, 238, 883, 385, 850. So, keep reading to learn more.
Given numbers are 433,238,883,385,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,238,883,385,850 is 25024087550.
Find LCM of 433,238,883,385,850 with Prime Factorization
2 | 433, 238, 883, 385, 850 |
5 | 433, 119, 883, 385, 425 |
7 | 433, 119, 883, 77, 85 |
17 | 433, 17, 883, 11, 85 |
433, 1, 883, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 433 x 1 x 883 x 11 x 5 = 25024087550
Therefore, the lowest common multiple of 433,238,883,385,850 is 25024087550.
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 238 x 883 x 385 x 850 = 29778664184500
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
238 : 1, 2, 7, 14, 17, 34, 119, 238
883 : 1, 883
385 : 1, 5, 7, 11, 35, 55, 77, 385
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,238,883,385,850, is 1.
Now, the common factors can be found like this.
433:433
238:2x 7x 17
883:883
385:5x 7x 11
850:2x 5x 5x 17
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 17 = 1190
Therefore, the value for common factors is 1190.
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 = 29778664184500/(1x1190)
LCM = 29778664184500/1190
LCM = 25024087550
Thus, we can understand that the LCM of 433,238,883,385,850 is 25024087550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 238, 883, 385, 850?
Answer: LCM of 433, 238, 883, 385, 850 is 25024087550.
2. How to calculate the LCM of 433, 238, 883, 385, 850?
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, 238, 883, 385, 850.
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}.