LCM of 188, 484, 363, 642, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 484, 363, 642, 275 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, 484, 363, 642, 275. So, keep reading to learn more.
Given numbers are 188,484,363,642,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,484,363,642,275 is 182552700.
Find LCM of 188,484,363,642,275 with Prime Factorization
| 2 | 188, 484, 363, 642, 275 |
| 2 | 94, 242, 363, 321, 275 |
| 3 | 47, 121, 363, 321, 275 |
| 11 | 47, 121, 121, 107, 275 |
| 11 | 47, 11, 11, 107, 25 |
| 47, 1, 1, 107, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 47 x 1 x 1 x 107 x 25 = 182552700
Therefore, the lowest common multiple of 188,484,363,642,275 is 182552700.
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 484 x 363 x 642 x 275 = 5831463448800
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
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
363 : 1, 3, 11, 33, 121, 363
642 : 1, 2, 3, 6, 107, 214, 321, 642
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,484,363,642,275, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
484:2x 2x 11x 11
363:3x 11x 11
642:2x 3x 107
275:5x 5x 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 3x 11x 11x 11 = 31944
Therefore, the value for common factors is 31944.
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 = 5831463448800/(1x31944)
LCM = 5831463448800/31944
LCM = 182552700
Thus, we can understand that the LCM of 188,484,363,642,275 is 182552700.
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FAQs on LCM of 188, 484, 363, 642, 275
1. What is the LCM of 188, 484, 363, 642, 275?
Answer: LCM of 188, 484, 363, 642, 275 is 182552700.
2. How to calculate the LCM of 188, 484, 363, 642, 275?
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, 484, 363, 642, 275.
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}.