Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1339/448, 1047/1515 quickly i.e. 1401933 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1339/448, 1047/1515 is 1401933.
LCM(1339/448, 1047/1515) = 1401933
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1339/448,1047/1515
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 1339,1047
Least Common Multiple of Numerators i.e. LCM of 1339,1047 is 1401933.
GCF of Denominators means GCF of 448,1515 as per the given fractions.
GCF of 448,1515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1339,1047
Given numbers has no common factors except 1. So, there LCM is their product i.e 1401933
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 1339,1047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1339,1047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1339,1047) x common factors =1 x 1 = 1
LCM(1339,1047) = ( 1339 × 1047 ) / 1
LCM(1339,1047) = 1401933 / 1
LCM(1339,1047) = 1401933
Lets's calculate GCF of 448,1515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1401933/1
Therefore the LCM of Fractions 1339/448,1047/1515 is 1401933
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 1515
List of positive integer factors of 1515 that divides 1515 without a remainder.
1,3,5,15,101,303,505,1515
Greatest Common Factor
We found the factors 448,1515 . The biggest common factor number is the GCF number.
So the greatest common factor 448,1515 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 1339/448, 1047/1515?
Answer: LCM of Numerators as per given numbers 1339/448, 1047/1515 is
LCM of Numerators i.e. for 1339,1047 is 1401933
GCF of denominators i.e. for 448,1515 is 1.
Thus, LCM of Fractions is 1401933.Finally, LCM of Fractions for 1339/448, 1047/1515 is 1401933.