Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 139/45, 483/7248 quickly i.e. 22379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 139/45, 483/7248 is 22379.
LCM(139/45, 483/7248) = 22379
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 139/45,483/7248
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 139,483
Least Common Multiple of Numerators i.e. LCM of 139,483 is 67137.
GCF of Denominators means GCF of 45,7248 as per the given fractions.
GCF of 45,7248 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 139,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 67137
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 139,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,483) x common factors =1 x 1 = 1
LCM(139,483) = ( 139 × 483 ) / 1
LCM(139,483) = 67137 / 1
LCM(139,483) = 67137
Lets's calculate GCF of 45,7248
3 | 45, 7248 |
15, 2416 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67137/3
Therefore the LCM of Fractions 139/45,483/7248 is 22379
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 7248
List of positive integer factors of 7248 that divides 7248 without a remainder.
1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Greatest Common Factor
We found the factors 45,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7248 is 3.
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 139/45, 483/7248?
Answer: LCM of Numerators as per given numbers 139/45, 483/7248 is
LCM of Numerators i.e. for 139,483 is 67137
GCF of denominators i.e. for 45,7248 is 3.
Thus, LCM of Fractions is 22379.Finally, LCM of Fractions for 139/45, 483/7248 is 22379.