Least Common Multiple of 48/931, 8503/5439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/931, 8503/5439 quickly i.e. 408144/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/931, 8503/5439 is 408144/49.

LCM(48/931, 8503/5439) = 408144/49

LCM of 48/931, 8503/5439

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 48/931,8503/5439

Given numbers are 48/931,8503/5439

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 48,8503

Least Common Multiple of Numerators i.e. LCM of 48,8503 is 408144.

GCF of Denominators means GCF of 931,5439 as per the given fractions.

GCF of 931,5439 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,8503

LCM of Fractions 48/931,8503/5439 is 408144/49

Given numbers has no common factors except 1. So, there LCM is their product i.e 408144

Least Common Multiple of 48,8503 with GCF Formula

Least Common Multiple of 48,8503 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 48,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,8503) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(48,8503) x common factors =1 x 1 = 1

LCM(48,8503) = ( 48 × 8503 ) / 1

LCM(48,8503) = 408144 / 1

LCM(48,8503) = 408144


Lets's calculate GCF of 931,5439

7 931, 5439
7 133, 777
19, 111

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408144/49

Therefore the LCM of Fractions 48/931,8503/5439 is 408144/49

Greatest Common Factor of 931,5439 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,5439 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 931,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 931,5439 is 49.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/931, 8503/5439

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 48/931, 8503/5439?

Answer: LCM of Numerators as per given numbers 48/931, 8503/5439 is

LCM of Numerators i.e. for 48,8503 is 408144

GCF of denominators i.e. for 931,5439 is 49.

Thus, LCM of Fractions is 408144/49.Finally, LCM of Fractions for 48/931, 8503/5439 is 408144/49.