Find the LCM of 193, 990, 836, 382, 264 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 193, 990, 836, 382, 264. So, keep reading to learn more.
Given numbers are 193,990,836,382,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,990,836,382,264 is 2773572120.
Find LCM of 193,990,836,382,264 with Prime Factorization
2 | 193, 990, 836, 382, 264 |
2 | 193, 495, 418, 191, 132 |
3 | 193, 495, 209, 191, 66 |
11 | 193, 165, 209, 191, 22 |
193, 15, 19, 191, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 193 x 15 x 19 x 191 x 2 = 2773572120
Therefore, the lowest common multiple of 193,990,836,382,264 is 2773572120.
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.
193 x 990 x 836 x 382 x 264 = 16108906872960
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.
193 : 1, 193
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
382 : 1, 2, 191, 382
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,990,836,382,264, is 1.
Now, the common factors can be found like this.
193:193
990:2x 3x 3x 5x 11
836:2x 2x 11x 19
382:2x 191
264:2x 2x 2x 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 2x 2x 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 16108906872960/(1x5808)
LCM = 16108906872960/5808
LCM = 2773572120
Thus, we can understand that the LCM of 193,990,836,382,264 is 2773572120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 193, 990, 836, 382, 264?
Answer: LCM of 193, 990, 836, 382, 264 is 2773572120.
2. How to calculate the LCM of 193, 990, 836, 382, 264?
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 193, 990, 836, 382, 264.
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}.