Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1507/229, 5103/1054 quickly i.e. 7690221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1507/229, 5103/1054 is 7690221.
LCM(1507/229, 5103/1054) = 7690221
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1507/229,5103/1054
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 1507,5103
Least Common Multiple of Numerators i.e. LCM of 1507,5103 is 7690221.
GCF of Denominators means GCF of 229,1054 as per the given fractions.
GCF of 229,1054 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1507,5103
Given numbers has no common factors except 1. So, there LCM is their product i.e 7690221
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 1507,5103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1507,5103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1507,5103) x common factors =1 x 1 = 1
LCM(1507,5103) = ( 1507 × 5103 ) / 1
LCM(1507,5103) = 7690221 / 1
LCM(1507,5103) = 7690221
Lets's calculate GCF of 229,1054
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7690221/1
Therefore the LCM of Fractions 1507/229,5103/1054 is 7690221
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1,2,17,31,34,62,527,1054
Greatest Common Factor
We found the factors 229,1054 . The biggest common factor number is the GCF number.
So the greatest common factor 229,1054 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 1507/229, 5103/1054?
Answer: LCM of Numerators as per given numbers 1507/229, 5103/1054 is
LCM of Numerators i.e. for 1507,5103 is 7690221
GCF of denominators i.e. for 229,1054 is 1.
Thus, LCM of Fractions is 7690221.Finally, LCM of Fractions for 1507/229, 5103/1054 is 7690221.