Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1304/224, 8399/247 quickly i.e. 10952296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1304/224, 8399/247 is 10952296.
LCM(1304/224, 8399/247) = 10952296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1304/224,8399/247
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 1304,8399
Least Common Multiple of Numerators i.e. LCM of 1304,8399 is 10952296.
GCF of Denominators means GCF of 224,247 as per the given fractions.
GCF of 224,247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1304,8399
Given numbers has no common factors except 1. So, there LCM is their product i.e 10952296
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 1304,8399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1304,8399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1304,8399) x common factors =1 x 1 = 1
LCM(1304,8399) = ( 1304 × 8399 ) / 1
LCM(1304,8399) = 10952296 / 1
LCM(1304,8399) = 10952296
Lets's calculate GCF of 224,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10952296/1
Therefore the LCM of Fractions 1304/224,8399/247 is 10952296
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 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 224,247 . The biggest common factor number is the GCF number.
So the greatest common factor 224,247 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 1304/224, 8399/247?
Answer: LCM of Numerators as per given numbers 1304/224, 8399/247 is
LCM of Numerators i.e. for 1304,8399 is 10952296
GCF of denominators i.e. for 224,247 is 1.
Thus, LCM of Fractions is 10952296.Finally, LCM of Fractions for 1304/224, 8399/247 is 10952296.