Least Common Multiple of 243/13, 132/7285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/13, 132/7285 quickly i.e. 10692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/13, 132/7285 is 10692.

LCM(243/13, 132/7285) = 10692

LCM of 243/13, 132/7285

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 243/13,132/7285

Given numbers are 243/13,132/7285

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 243,132

Least Common Multiple of Numerators i.e. LCM of 243,132 is 10692.

GCF of Denominators means GCF of 13,7285 as per the given fractions.

GCF of 13,7285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,132

LCM of Fractions 243/13,132/7285 is 10692

3 243, 132
81, 44

∴ So the LCM of the given numbers is 3 x 81 x 44 = 10692

Least Common Multiple of 243,132 with GCF Formula

Least Common Multiple of 243,132 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 243,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,132) = 3

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

GCF(243,132) x common factors =3 x 1 = 3

LCM(243,132) = ( 243 × 132 ) / 3

LCM(243,132) = 32076 / 3

LCM(243,132) = 10692


Lets's calculate GCF of 13,7285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10692/1

Therefore the LCM of Fractions 243/13,132/7285 is 10692

Greatest Common Factor of 13,7285 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,7285 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 7285

List of positive integer factors of 7285 that divides 7285 without a remainder.

1,5,31,47,155,235,1457,7285

Greatest Common Factor

We found the factors 13,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 13,7285 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 243/13, 132/7285

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 243/13, 132/7285?

Answer: LCM of Numerators as per given numbers 243/13, 132/7285 is

LCM of Numerators i.e. for 243,132 is 10692

GCF of denominators i.e. for 13,7285 is 1.

Thus, LCM of Fractions is 10692.Finally, LCM of Fractions for 243/13, 132/7285 is 10692.