LCM of 382, 684, 654, 522, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 684, 654, 522, 928 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 382, 684, 654, 522, 928. So, keep reading to learn more.
Given numbers are 382,684,654,522,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,684,654,522,928 is 3303725472.
Find LCM of 382,684,654,522,928 with Prime Factorization
| 2 | 382, 684, 654, 522, 928 |
| 2 | 191, 342, 327, 261, 464 |
| 3 | 191, 171, 327, 261, 232 |
| 3 | 191, 57, 109, 87, 232 |
| 29 | 191, 19, 109, 29, 232 |
| 191, 19, 109, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 191 x 19 x 109 x 1 x 8 = 3303725472
Therefore, the lowest common multiple of 382,684,654,522,928 is 3303725472.
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.
382 x 684 x 654 x 522 x 928 = 82778145426432
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.
382 : 1, 2, 191, 382
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
654 : 1, 2, 3, 6, 109, 218, 327, 654
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,684,654,522,928, is 2.
Now, the common factors can be found like this.
382:2x 191
684:2x 2x 3x 3x 19
654:2x 3x 109
522:2x 3x 3x 29
928:2x 2x 2x 2x 2x 29
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 3x 29 = 12528
Therefore, the value for common factors is 12528.
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 = 82778145426432/(2x12528)
LCM = 82778145426432/25056
LCM = 3303725472
Thus, we can understand that the LCM of 382,684,654,522,928 is 3303725472.
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FAQs on LCM of 382, 684, 654, 522, 928
1. What is the LCM of 382, 684, 654, 522, 928?
Answer: LCM of 382, 684, 654, 522, 928 is 3303725472.
2. How to calculate the LCM of 382, 684, 654, 522, 928?
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 382, 684, 654, 522, 928.
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}.