LCM of 117, 635, 876, 494, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 635, 876, 494, 382 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 117, 635, 876, 494, 382. So, keep reading to learn more.
Given numbers are 117,635,876,494,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,635,876,494,382 is 78728034060.
Find LCM of 117,635,876,494,382 with Prime Factorization
| 2 | 117, 635, 876, 494, 382 |
| 3 | 117, 635, 438, 247, 191 |
| 13 | 39, 635, 146, 247, 191 |
| 3, 635, 146, 19, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 3 x 635 x 146 x 19 x 191 = 78728034060
Therefore, the lowest common multiple of 117,635,876,494,382 is 78728034060.
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.
117 x 635 x 876 x 494 x 382 = 12281573313360
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.
117 : 1, 3, 9, 13, 39, 117
635 : 1, 5, 127, 635
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
494 : 1, 2, 13, 19, 26, 38, 247, 494
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,635,876,494,382, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
635:5x 127
876:2x 2x 3x 73
494:2x 13x 19
382:2x 191
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 12281573313360/(1x156)
LCM = 12281573313360/156
LCM = 78728034060
Thus, we can understand that the LCM of 117,635,876,494,382 is 78728034060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 635, 876, 494, 382
1. What is the LCM of 117, 635, 876, 494, 382?
Answer: LCM of 117, 635, 876, 494, 382 is 78728034060.
2. How to calculate the LCM of 117, 635, 876, 494, 382?
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 117, 635, 876, 494, 382.
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}.