Least Common Multiple of 13/529, 7156/2507

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

LCM of 13/529, 7156/2507

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 13/529,7156/2507

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

LCM of Fractions 13/529,7156/2507 is 93028/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 93028

Least Common Multiple of 13,7156 with GCF Formula

Least Common Multiple of 13,7156 with GCF Formula

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

Greatest Common Factor of 529,2507 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,2507 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/529, 7156/2507

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.