Least Common Multiple of 7752/545, 1137/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7752/545, 1137/608 quickly i.e. 2938008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7752/545, 1137/608 is 2938008.

LCM(7752/545, 1137/608) = 2938008

LCM of 7752/545, 1137/608

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 7752/545,1137/608

Given numbers are 7752/545,1137/608

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 7752,1137

Least Common Multiple of Numerators i.e. LCM of 7752,1137 is 2938008.

GCF of Denominators means GCF of 545,608 as per the given fractions.

GCF of 545,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7752,1137

LCM of Fractions 7752/545,1137/608 is 2938008

3 7752, 1137
2584, 379

∴ So the LCM of the given numbers is 3 x 2584 x 379 = 2938008

Least Common Multiple of 7752,1137 with GCF Formula

Least Common Multiple of 7752,1137 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 7752,1137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7752,1137) = 3

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

GCF(7752,1137) x common factors =3 x 1 = 3

LCM(7752,1137) = ( 7752 × 1137 ) / 3

LCM(7752,1137) = 8814024 / 3

LCM(7752,1137) = 2938008


Lets's calculate GCF of 545,608

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2938008/1

Therefore the LCM of Fractions 7752/545,1137/608 is 2938008

Greatest Common Factor of 545,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,608 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 545,608 . The biggest common factor number is the GCF number.
So the greatest common factor 545,608 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7752/545, 1137/608

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 7752/545, 1137/608?

Answer: LCM of Numerators as per given numbers 7752/545, 1137/608 is

LCM of Numerators i.e. for 7752,1137 is 2938008

GCF of denominators i.e. for 545,608 is 1.

Thus, LCM of Fractions is 2938008.Finally, LCM of Fractions for 7752/545, 1137/608 is 2938008.