LCM of 982, 288, 605, 390, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 288, 605, 390, 486 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 982, 288, 605, 390, 486. So, keep reading to learn more.
Given numbers are 982,288,605,390,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,288,605,390,486 is 30028695840.
Find LCM of 982,288,605,390,486 with Prime Factorization
| 2 | 982, 288, 605, 390, 486 |
| 3 | 491, 144, 605, 195, 243 |
| 3 | 491, 48, 605, 65, 81 |
| 5 | 491, 16, 605, 65, 27 |
| 491, 16, 121, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 491 x 16 x 121 x 13 x 27 = 30028695840
Therefore, the lowest common multiple of 982,288,605,390,486 is 30028695840.
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.
982 x 288 x 605 x 390 x 486 = 32430991507200
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.
982 : 1, 2, 491, 982
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
605 : 1, 5, 11, 55, 121, 605
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,288,605,390,486, is 1.
Now, the common factors can be found like this.
982:2x 491
288:2x 2x 2x 2x 2x 3x 3
605:5x 11x 11
390:2x 3x 5x 13
486:2x 3x 3x 3x 3x 3
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 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 32430991507200/(1x1080)
LCM = 32430991507200/1080
LCM = 30028695840
Thus, we can understand that the LCM of 982,288,605,390,486 is 30028695840.
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FAQs on LCM of 982, 288, 605, 390, 486
1. What is the LCM of 982, 288, 605, 390, 486?
Answer: LCM of 982, 288, 605, 390, 486 is 30028695840.
2. How to calculate the LCM of 982, 288, 605, 390, 486?
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 982, 288, 605, 390, 486.
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}.