LCM of 194, 960, 645, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 960, 645, 388 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 194, 960, 645, 388. So, keep reading to learn more.
Given numbers are 194,960,645,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,960,645,388 is 4004160.
Find LCM of 194,960,645,388 with Prime Factorization
| 2 | 194, 960, 645, 388 |
| 2 | 97, 480, 645, 194 |
| 3 | 97, 240, 645, 97 |
| 5 | 97, 80, 215, 97 |
| 97 | 97, 16, 43, 97 |
| 1, 16, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 97 x 1 x 16 x 43 x 1 = 4004160
Therefore, the lowest common multiple of 194,960,645,388 is 4004160.
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.
194 x 960 x 645 x 388 = 46608422400
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.
194 : 1, 2, 97, 194
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
645 : 1, 3, 5, 15, 43, 129, 215, 645
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,960,645,388, is 1.
Now, the common factors can be found like this.
194:2x 97
960:2x 2x 2x 2x 2x 2x 3x 5
645:3x 5x 43
388:2x 2x 97
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 3x 5x 97 = 11640
Therefore, the value for common factors is 11640.
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 = 46608422400/(1x11640)
LCM = 46608422400/11640
LCM = 4004160
Thus, we can understand that the LCM of 194,960,645,388 is 4004160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 194, 960, 645, 388
1. What is the LCM of 194, 960, 645, 388?
Answer: LCM of 194, 960, 645, 388 is 4004160.
2. How to calculate the LCM of 194, 960, 645, 388?
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 194, 960, 645, 388.
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}.