LCM of 739, 696, 871, 221, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 696, 871, 221, 576 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 739, 696, 871, 221, 576. So, keep reading to learn more.
Given numbers are 739,696,871,221,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,696,871,221,576 is 182781398592.
Find LCM of 739,696,871,221,576 with Prime Factorization
| 2 | 739, 696, 871, 221, 576 |
| 2 | 739, 348, 871, 221, 288 |
| 2 | 739, 174, 871, 221, 144 |
| 3 | 739, 87, 871, 221, 72 |
| 13 | 739, 29, 871, 221, 24 |
| 739, 29, 67, 17, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 739 x 29 x 67 x 17 x 24 = 182781398592
Therefore, the lowest common multiple of 739,696,871,221,576 is 182781398592.
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.
739 x 696 x 871 x 221 x 576 = 57027796360704
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.
739 : 1, 739
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
871 : 1, 13, 67, 871
221 : 1, 13, 17, 221
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,696,871,221,576, is 1.
Now, the common factors can be found like this.
739:739
696:2x 2x 2x 3x 29
871:13x 67
221:13x 17
576:2x 2x 2x 2x 2x 2x 3x 3
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 13 = 312
Therefore, the value for common factors is 312.
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 = 57027796360704/(1x312)
LCM = 57027796360704/312
LCM = 182781398592
Thus, we can understand that the LCM of 739,696,871,221,576 is 182781398592.
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FAQs on LCM of 739, 696, 871, 221, 576
1. What is the LCM of 739, 696, 871, 221, 576?
Answer: LCM of 739, 696, 871, 221, 576 is 182781398592.
2. How to calculate the LCM of 739, 696, 871, 221, 576?
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 739, 696, 871, 221, 576.
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}.