LCM of 838, 649, 684, 741, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 649, 684, 741, 903 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 838, 649, 684, 741, 903. So, keep reading to learn more.
Given numbers are 838,649,684,741,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,649,684,741,903 is 727821146052.
Find LCM of 838,649,684,741,903 with Prime Factorization
| 2 | 838, 649, 684, 741, 903 |
| 3 | 419, 649, 342, 741, 903 |
| 19 | 419, 649, 114, 247, 301 |
| 419, 649, 6, 13, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 419 x 649 x 6 x 13 x 301 = 727821146052
Therefore, the lowest common multiple of 838,649,684,741,903 is 727821146052.
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.
838 x 649 x 684 x 741 x 903 = 248914831949784
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.
838 : 1, 2, 419, 838
649 : 1, 11, 59, 649
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
741 : 1, 3, 13, 19, 39, 57, 247, 741
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,649,684,741,903, is 1.
Now, the common factors can be found like this.
838:2x 419
649:11x 59
684:2x 2x 3x 3x 19
741:3x 13x 19
903:3x 7x 43
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 248914831949784/(1x342)
LCM = 248914831949784/342
LCM = 727821146052
Thus, we can understand that the LCM of 838,649,684,741,903 is 727821146052.
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FAQs on LCM of 838, 649, 684, 741, 903
1. What is the LCM of 838, 649, 684, 741, 903?
Answer: LCM of 838, 649, 684, 741, 903 is 727821146052.
2. How to calculate the LCM of 838, 649, 684, 741, 903?
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 838, 649, 684, 741, 903.
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}.