Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7263/224, 1732/3463 quickly i.e. 12579516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7263/224, 1732/3463 is 12579516.
LCM(7263/224, 1732/3463) = 12579516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7263/224,1732/3463
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 7263,1732
Least Common Multiple of Numerators i.e. LCM of 7263,1732 is 12579516.
GCF of Denominators means GCF of 224,3463 as per the given fractions.
GCF of 224,3463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7263,1732
Given numbers has no common factors except 1. So, there LCM is their product i.e 12579516
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 7263,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7263,1732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7263,1732) x common factors =1 x 1 = 1
LCM(7263,1732) = ( 7263 × 1732 ) / 1
LCM(7263,1732) = 12579516 / 1
LCM(7263,1732) = 12579516
Lets's calculate GCF of 224,3463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12579516/1
Therefore the LCM of Fractions 7263/224,1732/3463 is 12579516
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 3463
List of positive integer factors of 3463 that divides 3463 without a remainder.
1,3463
Greatest Common Factor
We found the factors 224,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 224,3463 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 7263/224, 1732/3463?
Answer: LCM of Numerators as per given numbers 7263/224, 1732/3463 is
LCM of Numerators i.e. for 7263,1732 is 12579516
GCF of denominators i.e. for 224,3463 is 1.
Thus, LCM of Fractions is 12579516.Finally, LCM of Fractions for 7263/224, 1732/3463 is 12579516.