Find the LCM of 433, 894, 165, 198, 611 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, 894, 165, 198, 611. So, keep reading to learn more.
Given numbers are 433,894,165,198,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,894,165,198,611 is 39025688130.
Find LCM of 433,894,165,198,611 with Prime Factorization
2 | 433, 894, 165, 198, 611 |
3 | 433, 447, 165, 99, 611 |
11 | 433, 149, 55, 33, 611 |
433, 149, 5, 3, 611 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 433 x 149 x 5 x 3 x 611 = 39025688130
Therefore, the lowest common multiple of 433,894,165,198,611 is 39025688130.
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 894 x 165 x 198 x 611 = 7727086249740
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
894 : 1, 2, 3, 6, 149, 298, 447, 894
165 : 1, 3, 5, 11, 15, 33, 55, 165
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,894,165,198,611, is 1.
Now, the common factors can be found like this.
433:433
894:2x 3x 149
165:3x 5x 11
198:2x 3x 3x 11
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 7727086249740/(1x198)
LCM = 7727086249740/198
LCM = 39025688130
Thus, we can understand that the LCM of 433,894,165,198,611 is 39025688130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 894, 165, 198, 611?
Answer: LCM of 433, 894, 165, 198, 611 is 39025688130.
2. How to calculate the LCM of 433, 894, 165, 198, 611?
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, 894, 165, 198, 611.
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}.