Least Common Multiple of 2745/52, 1173/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2745/52, 1173/940 quickly i.e. 1073295/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2745/52, 1173/940 is 1073295/4.

LCM(2745/52, 1173/940) = 1073295/4

LCM of 2745/52, 1173/940

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 2745/52,1173/940

Given numbers are 2745/52,1173/940

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 2745,1173

Least Common Multiple of Numerators i.e. LCM of 2745,1173 is 1073295.

GCF of Denominators means GCF of 52,940 as per the given fractions.

GCF of 52,940 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2745,1173

LCM of Fractions 2745/52,1173/940 is 1073295/4

3 2745, 1173
915, 391

∴ So the LCM of the given numbers is 3 x 915 x 391 = 1073295

Least Common Multiple of 2745,1173 with GCF Formula

Least Common Multiple of 2745,1173 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 2745,1173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2745,1173) = 3

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

GCF(2745,1173) x common factors =3 x 1 = 3

LCM(2745,1173) = ( 2745 × 1173 ) / 3

LCM(2745,1173) = 3219885 / 3

LCM(2745,1173) = 1073295


Lets's calculate GCF of 52,940

2 52, 940
2 26, 470
13, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1073295/4

Therefore the LCM of Fractions 2745/52,1173/940 is 1073295/4

Greatest Common Factor of 52,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,940 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 52,940 . The biggest common factor number is the GCF number.
So the greatest common factor 52,940 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2745/52, 1173/940

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 2745/52, 1173/940?

Answer: LCM of Numerators as per given numbers 2745/52, 1173/940 is

LCM of Numerators i.e. for 2745,1173 is 1073295

GCF of denominators i.e. for 52,940 is 4.

Thus, LCM of Fractions is 1073295/4.Finally, LCM of Fractions for 2745/52, 1173/940 is 1073295/4.