Find the LCM of 437, 149, 933, 418, 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 437, 149, 933, 418, 198. So, keep reading to learn more.
Given numbers are 437,149,933,418,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,149,933,418,198 is 4009528314.
Find LCM of 437,149,933,418,198 with Prime Factorization
2 | 437, 149, 933, 418, 198 |
3 | 437, 149, 933, 209, 99 |
11 | 437, 149, 311, 209, 33 |
19 | 437, 149, 311, 19, 3 |
23, 149, 311, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 23 x 149 x 311 x 1 x 3 = 4009528314
Therefore, the lowest common multiple of 437,149,933,418,198 is 4009528314.
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.
437 x 149 x 933 x 418 x 198 = 5027948505756
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.
437 : 1, 19, 23, 437
149 : 1, 149
933 : 1, 3, 311, 933
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 437,149,933,418,198, is 1.
Now, the common factors can be found like this.
437:19x 23
149:149
933:3x 311
418:2x 11x 19
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 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 5027948505756/(1x1254)
LCM = 5027948505756/1254
LCM = 4009528314
Thus, we can understand that the LCM of 437,149,933,418,198 is 4009528314.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 149, 933, 418, 198?
Answer: LCM of 437, 149, 933, 418, 198 is 4009528314.
2. How to calculate the LCM of 437, 149, 933, 418, 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 437, 149, 933, 418, 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}.