Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/981, 62/625, 437/990 quickly i.e. 243846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/981, 62/625, 437/990 is 243846.
LCM(18/981, 62/625, 437/990) = 243846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/981,62/625,437/990
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 18,62,437
Least Common Multiple of Numerators i.e. LCM of 18,62,437 is 243846.
GCF of Denominators means GCF of 981,625,990 as per the given fractions.
GCF of 981,625,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,62,437
2 | 18, 62, 437 |
9, 31, 437 |
∴ So the LCM of the given numbers is 2 x 9 x 31 x 437 = 243846
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 18,62,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,62,437) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,62,437) x common factors =1 x 2 = 2
LCM(18,62,437) = ( 18 × 62 × 437 ) / 2
LCM(18,62,437) = 487692 / 2
LCM(18,62,437) = 243846
Lets's calculate GCF of 981,625,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243846/1
Therefore the LCM of Fractions 18/981,62/625,437/990 is 243846
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 981,625,990 . The biggest common factor number is the GCF number.
So the greatest common factor 981,625,990 is 1.
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 18/981, 62/625, 437/990?
Answer: LCM of Numerators as per given numbers 18/981, 62/625, 437/990 is
LCM of Numerators i.e. for 18,62,437 is 243846
GCF of denominators i.e. for 981,625,990 is 1.
Thus, LCM of Fractions is 243846.Finally, LCM of Fractions for 18/981, 62/625, 437/990 is 243846.