Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/529, 7156/2507 quickly i.e. 93028/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/529, 7156/2507 is 93028/23.
LCM(13/529, 7156/2507) = 93028/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/529,7156/2507
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 13,7156
Least Common Multiple of Numerators i.e. LCM of 13,7156 is 93028.
GCF of Denominators means GCF of 529,2507 as per the given fractions.
GCF of 529,2507 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,7156
Given numbers has no common factors except 1. So, there LCM is their product i.e 93028
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 13,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,7156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,7156) x common factors =1 x 1 = 1
LCM(13,7156) = ( 13 × 7156 ) / 1
LCM(13,7156) = 93028 / 1
LCM(13,7156) = 93028
Lets's calculate GCF of 529,2507
23 | 529, 2507 |
23, 109 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93028/23
Therefore the LCM of Fractions 13/529,7156/2507 is 93028/23
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 2507
List of positive integer factors of 2507 that divides 2507 without a remainder.
1,23,109,2507
Greatest Common Factor
We found the factors 529,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 529,2507 is 23.
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 13/529, 7156/2507?
Answer: LCM of Numerators as per given numbers 13/529, 7156/2507 is
LCM of Numerators i.e. for 13,7156 is 93028
GCF of denominators i.e. for 529,2507 is 23.
Thus, LCM of Fractions is 93028/23.Finally, LCM of Fractions for 13/529, 7156/2507 is 93028/23.