LCM of 482, 561, 845, 459, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 561, 845, 459, 182 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 482, 561, 845, 459, 182. So, keep reading to learn more.
Given numbers are 482,561,845,459,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,561,845,459,182 is 14394850470.
Find LCM of 482,561,845,459,182 with Prime Factorization
| 2 | 482, 561, 845, 459, 182 |
| 3 | 241, 561, 845, 459, 91 |
| 13 | 241, 187, 845, 153, 91 |
| 17 | 241, 187, 65, 153, 7 |
| 241, 11, 65, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 241 x 11 x 65 x 9 x 7 = 14394850470
Therefore, the lowest common multiple of 482,561,845,459,182 is 14394850470.
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.
482 x 561 x 845 x 459 x 182 = 19087571723220
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.
482 : 1, 2, 241, 482
561 : 1, 3, 11, 17, 33, 51, 187, 561
845 : 1, 5, 13, 65, 169, 845
459 : 1, 3, 9, 17, 27, 51, 153, 459
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,561,845,459,182, is 1.
Now, the common factors can be found like this.
482:2x 241
561:3x 11x 17
845:5x 13x 13
459:3x 3x 3x 17
182:2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 19087571723220/(1x1326)
LCM = 19087571723220/1326
LCM = 14394850470
Thus, we can understand that the LCM of 482,561,845,459,182 is 14394850470.
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FAQs on LCM of 482, 561, 845, 459, 182
1. What is the LCM of 482, 561, 845, 459, 182?
Answer: LCM of 482, 561, 845, 459, 182 is 14394850470.
2. How to calculate the LCM of 482, 561, 845, 459, 182?
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 482, 561, 845, 459, 182.
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}.