LCM of 381, 209, 945, 836, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 209, 945, 836, 724 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, 209, 945, 836, 724. So, keep reading to learn more.
Given numbers are 381,209,945,836,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,209,945,836,724 is 18160189740.
Find LCM of 381,209,945,836,724 with Prime Factorization
| 2 | 381, 209, 945, 836, 724 |
| 2 | 381, 209, 945, 418, 362 |
| 3 | 381, 209, 945, 209, 181 |
| 11 | 127, 209, 315, 209, 181 |
| 19 | 127, 19, 315, 19, 181 |
| 127, 1, 315, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 127 x 1 x 315 x 1 x 181 = 18160189740
Therefore, the lowest common multiple of 381,209,945,836,724 is 18160189740.
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 209 x 945 x 836 x 724 = 45545755867920
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
209 : 1, 11, 19, 209
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,209,945,836,724, is 1.
Now, the common factors can be found like this.
381:3x 127
209:11x 19
945:3x 3x 3x 5x 7
836:2x 2x 11x 19
724:2x 2x 181
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 3x 11x 19 = 2508
Therefore, the value for common factors is 2508.
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 = 45545755867920/(1x2508)
LCM = 45545755867920/2508
LCM = 18160189740
Thus, we can understand that the LCM of 381,209,945,836,724 is 18160189740.
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FAQs on LCM of 381, 209, 945, 836, 724
1. What is the LCM of 381, 209, 945, 836, 724?
Answer: LCM of 381, 209, 945, 836, 724 is 18160189740.
2. How to calculate the LCM of 381, 209, 945, 836, 724?
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, 209, 945, 836, 724.
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}.