Least Common Multiple of 27/550, 1137/8503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/550, 1137/8503 quickly i.e. 10233/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/550, 1137/8503 is 10233/11.

LCM(27/550, 1137/8503) = 10233/11

LCM of 27/550, 1137/8503

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 27/550,1137/8503

Given numbers are 27/550,1137/8503

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 27,1137

Least Common Multiple of Numerators i.e. LCM of 27,1137 is 10233.

GCF of Denominators means GCF of 550,8503 as per the given fractions.

GCF of 550,8503 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,1137

LCM of Fractions 27/550,1137/8503 is 10233/11

3 27, 1137
9, 379

∴ So the LCM of the given numbers is 3 x 9 x 379 = 10233

Least Common Multiple of 27,1137 with GCF Formula

Least Common Multiple of 27,1137 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 27,1137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,1137) = 3

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

GCF(27,1137) x common factors =3 x 1 = 3

LCM(27,1137) = ( 27 × 1137 ) / 3

LCM(27,1137) = 30699 / 3

LCM(27,1137) = 10233


Lets's calculate GCF of 550,8503

11 550, 8503
50, 773

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10233/11

Therefore the LCM of Fractions 27/550,1137/8503 is 10233/11

Greatest Common Factor of 550,8503 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,8503 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1,11,773,8503

Greatest Common Factor

We found the factors 550,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 550,8503 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/550, 1137/8503

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 27/550, 1137/8503?

Answer: LCM of Numerators as per given numbers 27/550, 1137/8503 is

LCM of Numerators i.e. for 27,1137 is 10233

GCF of denominators i.e. for 550,8503 is 11.

Thus, LCM of Fractions is 10233/11.Finally, LCM of Fractions for 27/550, 1137/8503 is 10233/11.