Least Common Multiple of 7127/330, 2118/5492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7127/330, 2118/5492 quickly i.e. 7547493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7127/330, 2118/5492 is 7547493.

LCM(7127/330, 2118/5492) = 7547493

LCM of 7127/330, 2118/5492

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 7127/330,2118/5492

Given numbers are 7127/330,2118/5492

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 7127,2118

Least Common Multiple of Numerators i.e. LCM of 7127,2118 is 15094986.

GCF of Denominators means GCF of 330,5492 as per the given fractions.

GCF of 330,5492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7127,2118

LCM of Fractions 7127/330,2118/5492 is 7547493

Given numbers has no common factors except 1. So, there LCM is their product i.e 15094986

Least Common Multiple of 7127,2118 with GCF Formula

Least Common Multiple of 7127,2118 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 7127,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7127,2118) = 1

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

GCF(7127,2118) x common factors =1 x 1 = 1

LCM(7127,2118) = ( 7127 × 2118 ) / 1

LCM(7127,2118) = 15094986 / 1

LCM(7127,2118) = 15094986


Lets's calculate GCF of 330,5492

2 330, 5492
165, 2746

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15094986/2

Therefore the LCM of Fractions 7127/330,2118/5492 is 7547493

Greatest Common Factor of 330,5492 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,5492 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1,2,4,1373,2746,5492

Greatest Common Factor

We found the factors 330,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 330,5492 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7127/330, 2118/5492

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 7127/330, 2118/5492?

Answer: LCM of Numerators as per given numbers 7127/330, 2118/5492 is

LCM of Numerators i.e. for 7127,2118 is 15094986

GCF of denominators i.e. for 330,5492 is 2.

Thus, LCM of Fractions is 7547493.Finally, LCM of Fractions for 7127/330, 2118/5492 is 7547493.