Least Common Multiple of 45/243, 1682/2293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/243, 1682/2293 quickly i.e. 75690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/243, 1682/2293 is 75690.

LCM(45/243, 1682/2293) = 75690

LCM of 45/243, 1682/2293

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 45/243,1682/2293

Given numbers are 45/243,1682/2293

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 45,1682

Least Common Multiple of Numerators i.e. LCM of 45,1682 is 75690.

GCF of Denominators means GCF of 243,2293 as per the given fractions.

GCF of 243,2293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,1682

LCM of Fractions 45/243,1682/2293 is 75690

Given numbers has no common factors except 1. So, there LCM is their product i.e 75690

Least Common Multiple of 45,1682 with GCF Formula

Least Common Multiple of 45,1682 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 45,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1682) = 1

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

GCF(45,1682) x common factors =1 x 1 = 1

LCM(45,1682) = ( 45 × 1682 ) / 1

LCM(45,1682) = 75690 / 1

LCM(45,1682) = 75690


Lets's calculate GCF of 243,2293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75690/1

Therefore the LCM of Fractions 45/243,1682/2293 is 75690

Greatest Common Factor of 243,2293 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,2293 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 2293

List of positive integer factors of 2293 that divides 2293 without a remainder.

1,2293

Greatest Common Factor

We found the factors 243,2293 . The biggest common factor number is the GCF number.
So the greatest common factor 243,2293 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 45/243, 1682/2293

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 45/243, 1682/2293?

Answer: LCM of Numerators as per given numbers 45/243, 1682/2293 is

LCM of Numerators i.e. for 45,1682 is 75690

GCF of denominators i.e. for 243,2293 is 1.

Thus, LCM of Fractions is 75690.Finally, LCM of Fractions for 45/243, 1682/2293 is 75690.