LCM of 381, 536, 663, 816, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 536, 663, 816, 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 381, 536, 663, 816, 906. So, keep reading to learn more.
Given numbers are 381,536,663,816,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,536,663,816,906 is 13629784272.
Find LCM of 381,536,663,816,906 with Prime Factorization
| 2 | 381, 536, 663, 816, 906 |
| 2 | 381, 268, 663, 408, 453 |
| 2 | 381, 134, 663, 204, 453 |
| 3 | 381, 67, 663, 102, 453 |
| 17 | 127, 67, 221, 34, 151 |
| 127, 67, 13, 2, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 127 x 67 x 13 x 2 x 151 = 13629784272
Therefore, the lowest common multiple of 381,536,663,816,906 is 13629784272.
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.
381 x 536 x 663 x 816 x 906 = 100097135693568
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.
381 : 1, 3, 127, 381
536 : 1, 2, 4, 8, 67, 134, 268, 536
663 : 1, 3, 13, 17, 39, 51, 221, 663
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 381,536,663,816,906, is 1.
Now, the common factors can be found like this.
381:3x 127
536:2x 2x 2x 67
663:3x 13x 17
816:2x 2x 2x 2x 3x 17
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 2x 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 100097135693568/(1x7344)
LCM = 100097135693568/7344
LCM = 13629784272
Thus, we can understand that the LCM of 381,536,663,816,906 is 13629784272.
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FAQs on LCM of 381, 536, 663, 816, 906
1. What is the LCM of 381, 536, 663, 816, 906?
Answer: LCM of 381, 536, 663, 816, 906 is 13629784272.
2. How to calculate the LCM of 381, 536, 663, 816, 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 381, 536, 663, 816, 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}.