Least Common Multiple of 419/243, 268/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/243, 268/132 quickly i.e. 112292/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/243, 268/132 is 112292/3.

LCM(419/243, 268/132) = 112292/3

LCM of 419/243, 268/132

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 419/243,268/132

Given numbers are 419/243,268/132

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 419,268

Least Common Multiple of Numerators i.e. LCM of 419,268 is 112292.

GCF of Denominators means GCF of 243,132 as per the given fractions.

GCF of 243,132 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,268

LCM of Fractions 419/243,268/132 is 112292/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 112292

Least Common Multiple of 419,268 with GCF Formula

Least Common Multiple of 419,268 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 419,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,268) = 1

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

GCF(419,268) x common factors =1 x 1 = 1

LCM(419,268) = ( 419 × 268 ) / 1

LCM(419,268) = 112292 / 1

LCM(419,268) = 112292


Lets's calculate GCF of 243,132

3 243, 132
81, 44

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112292/3

Therefore the LCM of Fractions 419/243,268/132 is 112292/3

Greatest Common Factor of 243,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,132 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 243,132 . The biggest common factor number is the GCF number.
So the greatest common factor 243,132 is 3.


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 419/243, 268/132

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 419/243, 268/132?

Answer: LCM of Numerators as per given numbers 419/243, 268/132 is

LCM of Numerators i.e. for 419,268 is 112292

GCF of denominators i.e. for 243,132 is 3.

Thus, LCM of Fractions is 112292/3.Finally, LCM of Fractions for 419/243, 268/132 is 112292/3.