LCM of 186, 381, 672, 196, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 381, 672, 196, 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 186, 381, 672, 196, 614. So, keep reading to learn more.
Given numbers are 186,381,672,196,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,381,672,196,614 is 5685531936.
Find LCM of 186,381,672,196,614 with Prime Factorization
| 2 | 186, 381, 672, 196, 614 |
| 2 | 93, 381, 336, 98, 307 |
| 3 | 93, 381, 168, 49, 307 |
| 7 | 31, 127, 56, 49, 307 |
| 31, 127, 8, 7, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 127 x 8 x 7 x 307 = 5685531936
Therefore, the lowest common multiple of 186,381,672,196,614 is 5685531936.
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.
186 x 381 x 672 x 196 x 614 = 5731016191488
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
381 : 1, 3, 127, 381
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,381,672,196,614, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
381:3x 127
672:2x 2x 2x 2x 2x 3x 7
196:2x 2x 7x 7
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 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 5731016191488/(1x1008)
LCM = 5731016191488/1008
LCM = 5685531936
Thus, we can understand that the LCM of 186,381,672,196,614 is 5685531936.
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FAQs on LCM of 186, 381, 672, 196, 614
1. What is the LCM of 186, 381, 672, 196, 614?
Answer: LCM of 186, 381, 672, 196, 614 is 5685531936.
2. How to calculate the LCM of 186, 381, 672, 196, 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 186, 381, 672, 196, 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}.