Find the LCM of 183, 781, 198, 822, 614 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 183, 781, 198, 822, 614. So, keep reading to learn more.
Given numbers are 183,781,198,822,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 183,781,198,822,614 is 36067190742.
Find LCM of 183,781,198,822,614 with Prime Factorization
2 | 183, 781, 198, 822, 614 |
3 | 183, 781, 99, 411, 307 |
11 | 61, 781, 33, 137, 307 |
61, 71, 3, 137, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 71 x 3 x 137 x 307 = 36067190742
Therefore, the lowest common multiple of 183,781,198,822,614 is 36067190742.
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.
183 x 781 x 198 x 822 x 614 = 14282607533832
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.
183 : 1, 3, 61, 183
781 : 1, 11, 71, 781
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
822 : 1, 2, 3, 6, 137, 274, 411, 822
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,781,198,822,614, is 1.
Now, the common factors can be found like this.
183:3x 61
781:11x 71
198:2x 3x 3x 11
822:2x 3x 137
614:2x 307
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 11 = 396
Therefore, the value for common factors is 396.
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 = 14282607533832/(1x396)
LCM = 14282607533832/396
LCM = 36067190742
Thus, we can understand that the LCM of 183,781,198,822,614 is 36067190742.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 183, 781, 198, 822, 614?
Answer: LCM of 183, 781, 198, 822, 614 is 36067190742.
2. How to calculate the LCM of 183, 781, 198, 822, 614?
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 183, 781, 198, 822, 614.
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}.