LCM of 808, 201, 419, 416, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 201, 419, 416, 675 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 808, 201, 419, 416, 675. So, keep reading to learn more.
Given numbers are 808,201,419,416,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,201,419,416,675 is 796172738400.
Find LCM of 808,201,419,416,675 with Prime Factorization
| 2 | 808, 201, 419, 416, 675 |
| 2 | 404, 201, 419, 208, 675 |
| 2 | 202, 201, 419, 104, 675 |
| 3 | 101, 201, 419, 52, 675 |
| 101, 67, 419, 52, 225 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 67 x 419 x 52 x 225 = 796172738400
Therefore, the lowest common multiple of 808,201,419,416,675 is 796172738400.
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.
808 x 201 x 419 x 416 x 675 = 19108145721600
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
201 : 1, 3, 67, 201
419 : 1, 419
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,201,419,416,675, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
201:3x 67
419:419
416:2x 2x 2x 2x 2x 13
675:3x 3x 3x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 19108145721600/(1x24)
LCM = 19108145721600/24
LCM = 796172738400
Thus, we can understand that the LCM of 808,201,419,416,675 is 796172738400.
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FAQs on LCM of 808, 201, 419, 416, 675
1. What is the LCM of 808, 201, 419, 416, 675?
Answer: LCM of 808, 201, 419, 416, 675 is 796172738400.
2. How to calculate the LCM of 808, 201, 419, 416, 675?
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 808, 201, 419, 416, 675.
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}.