LCM of 482, 838, 864, 495, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 838, 864, 495, 906 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, 838, 864, 495, 906. So, keep reading to learn more.
Given numbers are 482,838,864,495,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,838,864,495,906 is 724576834080.
Find LCM of 482,838,864,495,906 with Prime Factorization
| 2 | 482, 838, 864, 495, 906 |
| 3 | 241, 419, 432, 495, 453 |
| 3 | 241, 419, 144, 165, 151 |
| 241, 419, 48, 55, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 241 x 419 x 48 x 55 x 151 = 724576834080
Therefore, the lowest common multiple of 482,838,864,495,906 is 724576834080.
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 838 x 864 x 495 x 906 = 156508596161280
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
838 : 1, 2, 419, 838
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,838,864,495,906, is 1.
Now, the common factors can be found like this.
482:2x 241
838:2x 419
864:2x 2x 2x 2x 2x 3x 3x 3
495:3x 3x 5x 11
906:2x 3x 151
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 3 = 216
Therefore, the value for common factors is 216.
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 = 156508596161280/(1x216)
LCM = 156508596161280/216
LCM = 724576834080
Thus, we can understand that the LCM of 482,838,864,495,906 is 724576834080.
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FAQs on LCM of 482, 838, 864, 495, 906
1. What is the LCM of 482, 838, 864, 495, 906?
Answer: LCM of 482, 838, 864, 495, 906 is 724576834080.
2. How to calculate the LCM of 482, 838, 864, 495, 906?
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, 838, 864, 495, 906.
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}.