LCM of 482, 442, 931, 494, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 442, 931, 494, 189 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, 442, 931, 494, 189. So, keep reading to learn more.
Given numbers are 482,442,931,494,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,442,931,494,189 is 2677643514.
Find LCM of 482,442,931,494,189 with Prime Factorization
| 2 | 482, 442, 931, 494, 189 |
| 7 | 241, 221, 931, 247, 189 |
| 13 | 241, 221, 133, 247, 27 |
| 19 | 241, 17, 133, 19, 27 |
| 241, 17, 7, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 19 x 241 x 17 x 7 x 1 x 27 = 2677643514
Therefore, the lowest common multiple of 482,442,931,494,189 is 2677643514.
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 442 x 931 x 494 x 189 = 18518582542824
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
931 : 1, 7, 19, 49, 133, 931
494 : 1, 2, 13, 19, 26, 38, 247, 494
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,442,931,494,189, is 1.
Now, the common factors can be found like this.
482:2x 241
442:2x 13x 17
931:7x 7x 19
494:2x 13x 19
189:3x 3x 3x 7
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 7x 13x 19 = 6916
Therefore, the value for common factors is 6916.
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 = 18518582542824/(1x6916)
LCM = 18518582542824/6916
LCM = 2677643514
Thus, we can understand that the LCM of 482,442,931,494,189 is 2677643514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 482, 442, 931, 494, 189
1. What is the LCM of 482, 442, 931, 494, 189?
Answer: LCM of 482, 442, 931, 494, 189 is 2677643514.
2. How to calculate the LCM of 482, 442, 931, 494, 189?
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, 442, 931, 494, 189.
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}.