LCM of 815, 675, 978, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 675, 978, 433 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 815, 675, 978, 433. So, keep reading to learn more.
Given numbers are 815,675,978,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,675,978,433 is 95281650.
Find LCM of 815,675,978,433 with Prime Factorization
| 3 | 815, 675, 978, 433 |
| 5 | 815, 225, 326, 433 |
| 163 | 163, 45, 326, 433 |
| 1, 45, 2, 433 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 163 x 1 x 45 x 2 x 433 = 95281650
Therefore, the lowest common multiple of 815,675,978,433 is 95281650.
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.
815 x 675 x 978 x 433 = 232963634250
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.
815 : 1, 5, 163, 815
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
978 : 1, 2, 3, 6, 163, 326, 489, 978
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,675,978,433, is 1.
Now, the common factors can be found like this.
815:5x 163
675:3x 3x 3x 5x 5
978:2x 3x 163
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 163 = 2445
Therefore, the value for common factors is 2445.
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 = 232963634250/(1x2445)
LCM = 232963634250/2445
LCM = 95281650
Thus, we can understand that the LCM of 815,675,978,433 is 95281650.
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FAQs on LCM of 815, 675, 978, 433
1. What is the LCM of 815, 675, 978, 433?
Answer: LCM of 815, 675, 978, 433 is 95281650.
2. How to calculate the LCM of 815, 675, 978, 433?
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 815, 675, 978, 433.
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}.