Find the LCM of 839, 405, 344, 942, 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 839, 405, 344, 942, 198. So, keep reading to learn more.
Given numbers are 839,405,344,942,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,405,344,942,198 is 201868131960.
Find LCM of 839,405,344,942,198 with Prime Factorization
2 | 839, 405, 344, 942, 198 |
3 | 839, 405, 172, 471, 99 |
3 | 839, 135, 172, 157, 33 |
839, 45, 172, 157, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 839 x 45 x 172 x 157 x 11 = 201868131960
Therefore, the lowest common multiple of 839,405,344,942,198 is 201868131960.
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.
839 x 405 x 344 x 942 x 198 = 21801758251680
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.
839 : 1, 839
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
344 : 1, 2, 4, 8, 43, 86, 172, 344
942 : 1, 2, 3, 6, 157, 314, 471, 942
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 839,405,344,942,198, is 1.
Now, the common factors can be found like this.
839:839
405:3x 3x 3x 3x 5
344:2x 2x 2x 43
942:2x 3x 157
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 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 21801758251680/(1x108)
LCM = 21801758251680/108
LCM = 201868131960
Thus, we can understand that the LCM of 839,405,344,942,198 is 201868131960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 839, 405, 344, 942, 198?
Answer: LCM of 839, 405, 344, 942, 198 is 201868131960.
2. How to calculate the LCM of 839, 405, 344, 942, 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 839, 405, 344, 942, 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}.