LCM of 227, 900, 624, 871, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 900, 624, 871, 121 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 227, 900, 624, 871, 121. So, keep reading to learn more.
Given numbers are 227,900,624,871,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,900,624,871,121 is 86125525200.
Find LCM of 227,900,624,871,121 with Prime Factorization
| 2 | 227, 900, 624, 871, 121 |
| 2 | 227, 450, 312, 871, 121 |
| 3 | 227, 225, 156, 871, 121 |
| 13 | 227, 75, 52, 871, 121 |
| 227, 75, 4, 67, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 227 x 75 x 4 x 67 x 121 = 86125525200
Therefore, the lowest common multiple of 227,900,624,871,121 is 86125525200.
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.
227 x 900 x 624 x 871 x 121 = 13435581931200
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.
227 : 1, 227
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
871 : 1, 13, 67, 871
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,900,624,871,121, is 1.
Now, the common factors can be found like this.
227:227
900:2x 2x 3x 3x 5x 5
624:2x 2x 2x 2x 3x 13
871:13x 67
121:11x 11
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 13 = 156
Therefore, the value for common factors is 156.
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 = 13435581931200/(1x156)
LCM = 13435581931200/156
LCM = 86125525200
Thus, we can understand that the LCM of 227,900,624,871,121 is 86125525200.
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FAQs on LCM of 227, 900, 624, 871, 121
1. What is the LCM of 227, 900, 624, 871, 121?
Answer: LCM of 227, 900, 624, 871, 121 is 86125525200.
2. How to calculate the LCM of 227, 900, 624, 871, 121?
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 227, 900, 624, 871, 121.
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}.