LCM of 876, 901, 340, 900, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 901, 340, 900, 227 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 876, 901, 340, 900, 227. So, keep reading to learn more.
Given numbers are 876,901,340,900,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,901,340,900,227 is 13437423900.
Find LCM of 876,901,340,900,227 with Prime Factorization
| 2 | 876, 901, 340, 900, 227 |
| 2 | 438, 901, 170, 450, 227 |
| 3 | 219, 901, 85, 225, 227 |
| 5 | 73, 901, 85, 75, 227 |
| 17 | 73, 901, 17, 15, 227 |
| 73, 53, 1, 15, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 73 x 53 x 1 x 15 x 227 = 13437423900
Therefore, the lowest common multiple of 876,901,340,900,227 is 13437423900.
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.
876 x 901 x 340 x 900 x 227 = 54824689512000
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
901 : 1, 17, 53, 901
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,901,340,900,227, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
901:17x 53
340:2x 2x 5x 17
900:2x 2x 3x 3x 5x 5
227:227
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 3x 5x 17 = 4080
Therefore, the value for common factors is 4080.
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 = 54824689512000/(1x4080)
LCM = 54824689512000/4080
LCM = 13437423900
Thus, we can understand that the LCM of 876,901,340,900,227 is 13437423900.
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FAQs on LCM of 876, 901, 340, 900, 227
1. What is the LCM of 876, 901, 340, 900, 227?
Answer: LCM of 876, 901, 340, 900, 227 is 13437423900.
2. How to calculate the LCM of 876, 901, 340, 900, 227?
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 876, 901, 340, 900, 227.
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}.