Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/244, 5982/4225 quickly i.e. 101694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/244, 5982/4225 is 101694.
LCM(51/244, 5982/4225) = 101694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/244,5982/4225
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 51,5982
Least Common Multiple of Numerators i.e. LCM of 51,5982 is 101694.
GCF of Denominators means GCF of 244,4225 as per the given fractions.
GCF of 244,4225 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,5982
3 | 51, 5982 |
17, 1994 |
∴ So the LCM of the given numbers is 3 x 17 x 1994 = 101694
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 51,5982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,5982) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,5982) x common factors =3 x 1 = 3
LCM(51,5982) = ( 51 × 5982 ) / 3
LCM(51,5982) = 305082 / 3
LCM(51,5982) = 101694
Lets's calculate GCF of 244,4225
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101694/1
Therefore the LCM of Fractions 51/244,5982/4225 is 101694
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 4225
List of positive integer factors of 4225 that divides 4225 without a remainder.
1,5,13,25,65,169,325,845,4225
Greatest Common Factor
We found the factors 244,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 244,4225 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 51/244, 5982/4225?
Answer: LCM of Numerators as per given numbers 51/244, 5982/4225 is
LCM of Numerators i.e. for 51,5982 is 101694
GCF of denominators i.e. for 244,4225 is 1.
Thus, LCM of Fractions is 101694.Finally, LCM of Fractions for 51/244, 5982/4225 is 101694.