LCM of 188, 304, 178, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 304, 178, 239 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 188, 304, 178, 239. So, keep reading to learn more.
Given numbers are 188,304,178,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,304,178,239 is 303920048.
Find LCM of 188,304,178,239 with Prime Factorization
| 2 | 188, 304, 178, 239 |
| 2 | 94, 152, 89, 239 |
| 47, 76, 89, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 76 x 89 x 239 = 303920048
Therefore, the lowest common multiple of 188,304,178,239 is 303920048.
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.
188 x 304 x 178 x 239 = 2431360384
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.
188 : 1, 2, 4, 47, 94, 188
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
178 : 1, 2, 89, 178
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,304,178,239, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
304:2x 2x 2x 2x 19
178:2x 89
239:239
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 2 = 8
Therefore, the value for common factors is 8.
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 = 2431360384/(1x8)
LCM = 2431360384/8
LCM = 303920048
Thus, we can understand that the LCM of 188,304,178,239 is 303920048.
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FAQs on LCM of 188, 304, 178, 239
1. What is the LCM of 188, 304, 178, 239?
Answer: LCM of 188, 304, 178, 239 is 303920048.
2. How to calculate the LCM of 188, 304, 178, 239?
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 188, 304, 178, 239.
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}.