Find the LCM of 431, 945, 462, 685, 198 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 431, 945, 462, 685, 198. So, keep reading to learn more.
Given numbers are 431,945,462,685,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,945,462,685,198 is 1227587130.
Find LCM of 431,945,462,685,198 with Prime Factorization
2 | 431, 945, 462, 685, 198 |
3 | 431, 945, 231, 685, 99 |
3 | 431, 315, 77, 685, 33 |
5 | 431, 105, 77, 685, 11 |
7 | 431, 21, 77, 137, 11 |
11 | 431, 3, 11, 137, 11 |
431, 3, 1, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 431 x 3 x 1 x 137 x 1 = 1227587130
Therefore, the lowest common multiple of 431,945,462,685,198 is 1227587130.
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.
431 x 945 x 462 x 685 x 198 = 25521536432700
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.
431 : 1, 431
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
685 : 1, 5, 137, 685
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,945,462,685,198, is 1.
Now, the common factors can be found like this.
431:431
945:3x 3x 3x 5x 7
462:2x 3x 7x 11
685:5x 137
198:2x 3x 3x 11
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 3x 5x 7x 11 = 20790
Therefore, the value for common factors is 20790.
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 = 25521536432700/(1x20790)
LCM = 25521536432700/20790
LCM = 1227587130
Thus, we can understand that the LCM of 431,945,462,685,198 is 1227587130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 945, 462, 685, 198?
Answer: LCM of 431, 945, 462, 685, 198 is 1227587130.
2. How to calculate the LCM of 431, 945, 462, 685, 198?
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 431, 945, 462, 685, 198.
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}.