LCM of 112, 192, 871, 420, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 192, 871, 420, 800 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 112, 192, 871, 420, 800. So, keep reading to learn more.
Given numbers are 112,192,871,420,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,192,871,420,800 is 29265600.
Find LCM of 112,192,871,420,800 with Prime Factorization
| 2 | 112, 192, 871, 420, 800 |
| 2 | 56, 96, 871, 210, 400 |
| 2 | 28, 48, 871, 105, 200 |
| 2 | 14, 24, 871, 105, 100 |
| 2 | 7, 12, 871, 105, 50 |
| 3 | 7, 6, 871, 105, 25 |
| 5 | 7, 2, 871, 35, 25 |
| 7 | 7, 2, 871, 7, 5 |
| 1, 2, 871, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 2 x 871 x 1 x 5 = 29265600
Therefore, the lowest common multiple of 112,192,871,420,800 is 29265600.
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.
112 x 192 x 871 x 420 x 800 = 6293274624000
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
871 : 1, 13, 67, 871
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,192,871,420,800, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
192:2x 2x 2x 2x 2x 2x 3
871:13x 67
420:2x 2x 3x 5x 7
800:2x 2x 2x 2x 2x 5x 5
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 2x 2x 2x 2x 2x 2x 2x 3x 5x 7 = 215040
Therefore, the value for common factors is 215040.
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 = 6293274624000/(1x215040)
LCM = 6293274624000/215040
LCM = 29265600
Thus, we can understand that the LCM of 112,192,871,420,800 is 29265600.
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FAQs on LCM of 112, 192, 871, 420, 800
1. What is the LCM of 112, 192, 871, 420, 800?
Answer: LCM of 112, 192, 871, 420, 800 is 29265600.
2. How to calculate the LCM of 112, 192, 871, 420, 800?
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 112, 192, 871, 420, 800.
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}.