LCM of 451, 978, 400, 869, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 978, 400, 869, 311 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 451, 978, 400, 869, 311. So, keep reading to learn more.
Given numbers are 451,978,400,869,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,978,400,869,311 is 2167369076400.
Find LCM of 451,978,400,869,311 with Prime Factorization
| 2 | 451, 978, 400, 869, 311 |
| 11 | 451, 489, 200, 869, 311 |
| 41, 489, 200, 79, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 489 x 200 x 79 x 311 = 2167369076400
Therefore, the lowest common multiple of 451,978,400,869,311 is 2167369076400.
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.
451 x 978 x 400 x 869 x 311 = 47682119680800
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.
451 : 1, 11, 41, 451
978 : 1, 2, 3, 6, 163, 326, 489, 978
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
869 : 1, 11, 79, 869
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,978,400,869,311, is 1.
Now, the common factors can be found like this.
451:11x 41
978:2x 3x 163
400:2x 2x 2x 2x 5x 5
869:11x 79
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 47682119680800/(1x22)
LCM = 47682119680800/22
LCM = 2167369076400
Thus, we can understand that the LCM of 451,978,400,869,311 is 2167369076400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 978, 400, 869, 311
1. What is the LCM of 451, 978, 400, 869, 311?
Answer: LCM of 451, 978, 400, 869, 311 is 2167369076400.
2. How to calculate the LCM of 451, 978, 400, 869, 311?
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 451, 978, 400, 869, 311.
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}.