Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 888/30, 810/8388 quickly i.e. 19980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 888/30, 810/8388 is 19980.
LCM(888/30, 810/8388) = 19980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 888/30,810/8388
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 888,810
Least Common Multiple of Numerators i.e. LCM of 888,810 is 119880.
GCF of Denominators means GCF of 30,8388 as per the given fractions.
GCF of 30,8388 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 888,810
2 | 888, 810 |
3 | 444, 405 |
148, 135 |
∴ So the LCM of the given numbers is 2 x 3 x 148 x 135 = 119880
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 888,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,810) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(888,810) x common factors =6 x 1 = 6
LCM(888,810) = ( 888 × 810 ) / 6
LCM(888,810) = 719280 / 6
LCM(888,810) = 119880
Lets's calculate GCF of 30,8388
2 | 30, 8388 |
3 | 15, 4194 |
5, 1398 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119880/6
Therefore the LCM of Fractions 888/30,810/8388 is 19980
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 30,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 30,8388 is 6.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 888/30, 810/8388?
Answer: LCM of Numerators as per given numbers 888/30, 810/8388 is
LCM of Numerators i.e. for 888,810 is 119880
GCF of denominators i.e. for 30,8388 is 6.
Thus, LCM of Fractions is 19980.Finally, LCM of Fractions for 888/30, 810/8388 is 19980.