Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 251/48, 208/89, 379/132 quickly i.e. 19786832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 251/48, 208/89, 379/132 is 19786832.
LCM(251/48, 208/89, 379/132) = 19786832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 251/48,208/89,379/132
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 251,208,379
Least Common Multiple of Numerators i.e. LCM of 251,208,379 is 19786832.
GCF of Denominators means GCF of 48,89,132 as per the given fractions.
GCF of 48,89,132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 251,208,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 19786832
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 251,208,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,208,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,208,379) x common factors =1 x 1 = 1
LCM(251,208,379) = ( 251 × 208 × 379 ) / 1
LCM(251,208,379) = 19786832 / 1
LCM(251,208,379) = 19786832
Lets's calculate GCF of 48,89,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19786832/1
Therefore the LCM of Fractions 251/48,208/89,379/132 is 19786832
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 48,89,132 . The biggest common factor number is the GCF number.
So the greatest common factor 48,89,132 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 251/48, 208/89, 379/132?
Answer: LCM of Numerators as per given numbers 251/48, 208/89, 379/132 is
LCM of Numerators i.e. for 251,208,379 is 19786832
GCF of denominators i.e. for 48,89,132 is 1.
Thus, LCM of Fractions is 19786832.Finally, LCM of Fractions for 251/48, 208/89, 379/132 is 19786832.